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Deepening of the theory of viscosity solutions and its applications

Research Project

Project/Area Number 23244015
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionWaseda University

Principal Investigator

ISHII Hitoshi  早稲田大学, 教育・総合科学学術院, 教授 (70102887)

Co-Investigator(Kenkyū-buntansha) OTANI Mitsuharu  早稲田大学, 理工学術院, 教授 (30119656)
NAGAI Hideo  関西大学, 工学部, 教授 (70110848)
GIGA Yoshikazu  東京大学, 数理科学研究科, 教授 (70144110)
KOIKE Shigeaki  東北大学, 理学研究科, 教授 (90205295)
MIKAMI Toshio  津田塾大学, 学芸学部, 教授 (70229657)
MITAKE Hiroyoshi  広島大学, サステナブル・ディベロップメント実践研究センター, テニュアトラック講師 (90631979)
Co-Investigator(Renkei-kenkyūsha) YAMADA Naoki  福岡大学, 理学部, 教授 (50030789)
ISHII Katsuyuki  神戸大学, 海事科学研究科, 教授 (40232227)
ICHIHARA Naoyuki  青山学院大学, 理工学部, 准教授 (70452563)
FUJITA Yasuhiro  富山大学, 理工学研究部, 教授 (10209067)
Project Period (FY) 2011-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥29,120,000 (Direct Cost: ¥22,400,000、Indirect Cost: ¥6,720,000)
Fiscal Year 2015: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2014: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2013: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2012: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2011: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Keywords関数方程式 / 粘性解 / 最適制御 / 曲面の発展方程式 / 完全非線形偏微分方程式 / 弱KAM理論 / 最適制御理論 / 弱KAM理論 / 関数方程式,米国,フランス,イタリア / 粘性解,米国,フランス,イタリア / 完全非線形偏微分方程式,米国,フランス,イタリア / 最適制御理論,米国,フランス,イタリア / 弱KAM理論,米国,フランス,イタリア / 曲面の発展方程式,米国,フランス,イタリア / 最適制御,米国,フランス,イタリア
Outline of Final Research Achievements

We investigated the asymptotic problems of partial differential equations such as the long-time asymptotic behavior of solutions of Hamilton-Jacobi equations and viscous Hamilton-Jacobi equation, the vanishing discount problem, and obtained many important new pieces of knowledge regarding these asymptotic problems as well as the theory of viscosity solutions. We developed the basic theory of the existence and uniqueness of solutions for singular diffusion equations and for integral-differential equations. Based on the analysis of solutions of Hamilton-Jacobi-Bellman equations, we established certain estimates on the large-time asymptotic behavior of the minimizing large deviation probabilities, the verification theorem for optimal consumption-investment in a non-complete market model, a new approach to the stochastic optimal transportation problem.

Report

(6 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • Research Products

    (159 results)

All 2016 2015 2014 2013 2012 2011 Other

All Journal Article (58 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 57 results,  Acknowledgement Compliant: 9 results,  Open Access: 4 results) Presentation (97 results) (of which Int'l Joint Research: 6 results,  Invited: 51 results) Book (1 results) Remarks (3 results)

  • [Journal Article] A convergence result for the ergodic problem for Hamilton-Jacobi equations with Neumann-type boundary conditions2016

    • Author(s)
      Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M.Younas
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 146 Issue: 2 Pages: 225-242

    • DOI

      10.1017/s0308210515000517

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A convergence result for the ergodic problem for Hamilton-Jacobi equations with Neumann type boundary conditions2016

    • Author(s)
      Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls, II.2015

    • Author(s)
      Norihisa Ikoma, Hitoshi Ishii
    • Journal Title

      Bull. Math. Sci.

      Volume: 5 Issue: 3 Pages: 451-510

    • DOI

      10.1007/s13373-015-0071-0

    • NAID

      120005682649

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A level set crystalline mean curvature flow of surfaces2015

    • Author(s)
      Yoshikazu Giga, Norbert Pozar
    • Journal Title

      Adv. Differential Equations

      Volume: 21 Pages: 631-698

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-time asymptotics for Hamilton-Jacobi equations with noncoercive Hamiltonians appearing in crystal growth2015

    • Author(s)
      Yoshikazu Giga, Qing Liu, Hiroyoshi Mitake
    • Journal Title

      Nonlinear dynamics in partial differential equations

      Volume: 64 Pages: 235-242

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bent rectangles as viscosity solutions over a circle2015

    • Author(s)
      Y. Giga, P. Gorka and P. Rybka
    • Journal Title

      Nonlinear Analysis

      Volume: 125 Pages: 518-549

    • DOI

      10.1016/j.na.2015.05.033

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On the ABP maximum principle for Lp- viscosity solutions of fully nonlinear PDE2015

    • Author(s)
      Shigeaki Koike
    • Journal Title

      Nonlinear dynamics in partial differential equations

      Volume: 64 Pages: 113-124

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Regularity results and large time behavior for integro- differential equations with coercive Hamiltonians2015

    • Author(s)
      Guy Barles, Shigeaki Koike, Olivier Ley, Erwin Topp
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 54 Issue: 1 Pages: 539-572

    • DOI

      10.1007/s00526-014-0794-x

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Existence for stationary mean field games with quadratic Hamiltonians with congestion2015

    • Author(s)
      D. Gomes, H. Mitake
    • Journal Title

      NoDEA Nonlinear Differential Equations Appl.

      Volume: 22 Issue: 6 Pages: 1897-1910

    • DOI

      10.1007/s00030-015-0349-7

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Large-time behavior for obstacle problems for degenerate viscous Hamilton-Jacobi equations2015

    • Author(s)
      H. Mitake, H. V. Tran
    • Journal Title

      Calc. Var. Partial Differential Equations.

      Volume: 54 Issue: 2 Pages: 2039-2058

    • DOI

      10.1007/s00526-015-0855-9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Metastability for parabolic equations with drift: part I2015

    • Author(s)
      Hitoshi Ishii, Panagiotis E. Souganidis
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 64 Issue: 3 Pages: 875-913

    • DOI

      10.1512/iumj.2015.64.5559

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces2015

    • Author(s)
      T. Ohtsuka, Y.-H. Tsai, Y. Giga
    • Journal Title

      J. Sci. Comput.

      Volume: 62 Issue: 3 Pages: 831-874

    • DOI

      10.1007/s10915-014-9877-2

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Eikonal equations in metric spaces2015

    • Author(s)
      NAKAYASU, Atsushi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 367 Issue: 1 Pages: 49-66

    • DOI

      10.1090/s0002-9947-2014-05893-5

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] H-J-B Equations of Optimal Consumption-Investment and Verification Theorems2015

    • Author(s)
      Hideo Nagai
    • Journal Title

      Appl. Math. Optim.

      Volume: 71 Issue: 2 Pages: 279-311

    • DOI

      10.1007/s00245-014-9258-0

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Remarks on the comparison principle for quasilinear PDE with no zeroth order terms2015

    • Author(s)
      Shigeaki Koike, Takahiro Kosugi
    • Journal Title

      Commun. Pure Appl. Anal.

      Volume: 14 Issue: 1 Pages: 133-1423

    • DOI

      10.3934/cpaa.2015.14.133

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic analysis for the eikonal equation with the dynamical boundary conditions2014

    • Author(s)
      Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M. Younas
    • Journal Title

      Math. Nachr.

      Volume: 287 Issue: 14-15 Pages: 1563-1588

    • DOI

      10.1002/mana.201300224

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations2014

    • Author(s)
      Y. Giga, Q. Liu and H. Mitake
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 366 Issue: 4 Pages: 1905-1941

    • DOI

      10.1090/s0002-9947-2013-05905-3

    • NAID

      120006462288

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs2014

    • Author(s)
      M.-H. Giga, Y. Giga and P. Rybka
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 211 Issue: 2 Pages: 419-453

    • DOI

      10.1007/s00205-013-0676-y

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A new PDE approach to the large time asymptotics of solutions of Hamilton.Jacobi equations2013

    • Author(s)
      G.Barles, H.Ishii and H.Mitake
    • Journal Title

      Bull. Math. Sci

      Volume: (in press) Issue: 3 Pages: 363-388

    • DOI

      10.1007/s13373-013-0036-0

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Hamilton-Jacobi equations with discontinuous source terms2013

    • Author(s)
      HAMAMUKI, Nao
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 38 Issue: 2 Pages: 199-243

    • DOI

      10.1080/03605302.2012.739671

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term2013

    • Author(s)
      Y. Giga, P. Gorka, P. Rybka
    • Journal Title

      Adv. Differential Equations

      Volume: 18 Pages: 201-242

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Anisotropic total variation flow of non-divergence type on a higher dimensional torus2013

    • Author(s)
      M.-H. Giga, Y. Giga, N. Pozar
    • Journal Title

      Adv. Math. Sci. Appl.

      Volume: 23 Pages: 235-268

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the role of kinetic and interfacial anisotropy in the crystal growth theory2013

    • Author(s)
      M.-H. Giga and Y. Giga
    • Journal Title

      Interface and Free Boundaries

      Volume: 15 Issue: 4 Pages: 429-450

    • DOI

      10.4171/ifb/309

    • NAID

      120006459710

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Expected power-utility maximization under incomplete information and with Cox-process observation2013

    • Author(s)
      H. Nagai
    • Journal Title

      Appl. Math. Optimization

      Volume: 67 Issue: 1 Pages: 33-72

    • DOI

      10.1007/s00245-012-9180-2

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Indiana University Mathematical Journal

      Volume: 62 Issue: 5 Pages: 1473-1502

    • DOI

      10.1512/iumj.2013.62.5109

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A short introduction to viscosity solutions and the large time behavior of solutions of Hamilton-Jacobi equations. Hamilton-Jacobi equations: approximations, numerical analysis and applications2013

    • Author(s)
      H. Ishii
    • Journal Title

      Lecture Notes in Math.

      Volume: 2074 Pages: 111-249

    • DOI

      10.1007/978-3-642-36433-4_3

    • ISBN
      9783642364327, 9783642364334
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2013

    • Author(s)
      S. Koike
    • Journal Title

      the Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations

      Volume: 無

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Indiana University Mathematical Journal

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term2013

    • Author(s)
      Y. Giga, P. Gorka, P. Rybka
    • Journal Title

      Advances in Differential Equations

      Volume: 18 Pages: 201-242

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analyticity and regularity for a class od second order evolution equations2013

    • Author(s)
      A. Haraux, M. Otani
    • Journal Title

      Evolution Equations and Control Theory

      Volume: 2 Issue: 1 Pages: 101-117

    • DOI

      10.3934/eect.2013.2.101

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls2012

    • Author(s)
      N. Ikoma
    • Journal Title

      Ann. Inst. H. Poincare Anal. Non Lineaire

      Volume: 29 Issue: 5 Pages: 783-812

    • DOI

      10.1016/j.anihpc.2012.04.004

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness sets for minimization formulas2012

    • Author(s)
      Y.Fujita, H.Ishii
    • Journal Title

      Differential Integral Equations

      Volume: 25 Pages: 579-588

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions2012

    • Author(s)
      Guy Barles, 石井仁司, 三竹大寿
    • Journal Title

      Archive Rational Mechanic Analysis

      Volume: (印刷中) Issue: 2 Pages: 515-558

    • DOI

      10.1007/s00205-011-0484-1

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A pde approach to small stochastic perturbations of Hamiltonian flows2012

    • Author(s)
      H. Ishii
    • Journal Title

      J. Differential Equations

      Volume: 252 Issue: 2 Pages: 1748-1775

    • DOI

      10.1016/j.jde.2011.08.036

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Downside risk minimization via a large deviations approach2012

    • Author(s)
      H. Nagai
    • Journal Title

      Annals of Applied Probability

      Volume: vol.22 Issue: 2 Pages: 608-669

    • DOI

      10.1214/11-aap781

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Down-side risk minimization under prescribed consumption level2012

    • Author(s)
      H.Nagai
    • Journal Title

      Risk and Decision Analysis

      Volume: 3 Issue: 3 Pages: 191-200

    • DOI

      10.3233/rda-2011-0058

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A characterization of the Knothe-Rosenblatt processes by a convergence result2012

    • Author(s)
      Toshio Mikami
    • Journal Title

      SIAM J. ControlOptim.

      Volume: 50 Issue: 4 Pages: 1903-1920

    • DOI

      10.1137/100791129

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lcal maximum principle for Lp viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients2012

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Communications in Pure and Applied Analysis

      Volume: 11, No5 Issue: 5 Pages: 1897-1910

    • DOI

      10.3934/cpaa.2012.11.1897

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with non-coercive Hamiltonians2012

    • Author(s)
      儀我美一, Qing Liu, 三竹大寿
    • Journal Title

      Journal of Differential Equations

      Volume: 252 Issue: 2 Pages: 1263-1282

    • DOI

      10.1016/j.jde.2011.10.010

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      T. Eto, Y. Giga and K. Ishii
    • Journal Title

      Proc. Japan Acad. Ser. A

      Volume: 88 Issue: 1 Pages: 7-10

    • DOI

      10.3792/pjaa.88.7

    • NAID

      120006459700

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An area minimizing scheme for anisotropic mean-curvature flow2012

    • Author(s)
      T. Eto, Y. Giga, K. Ishii
    • Journal Title

      Advances in Differential Equations

      Volume: 17 Pages: 1031-1084

    • NAID

      120006459700

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple solutions for semilinear elliptic equations with nonlinear boundary conditions2012

    • Author(s)
      J.Harada and M.Otani
    • Journal Title

      Electron. J. Differential Equations

      Volume: 2012 Pages: 1-9

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Blow-up and continuation of solutions for some semilinear parabolic equations with nonlinear boundary conditions2012

    • Author(s)
      J.Harada, M. Otani
    • Journal Title

      Libertas Mathematica, New series

      Volume: 32 Pages: 111-153

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Down-side risk minimization under prescribed consumption level2012

    • Author(s)
      Hideo Nagai
    • Journal Title

      Risk and Decision Analysis

      Volume: (未定)(掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the ABP maximum principle and applications2012

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録「幾何学的偏微分方程式における保存則と正則性特異性の研究」

      Volume: (未定)(掲載確定)

    • Related Report
      2011 Annual Research Report
  • [Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2012

    • Author(s)
      S.Koike
    • Journal Title

      Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations

      Volume: (掲載確定)(未定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large time asymptotic problems for optimal stochastic control with superlinear cost2012

    • Author(s)
      Naoyuki Ichihara
    • Journal Title

      Stochastic Processes and the irApplications

      Volume: 122(4) Issue: 4 Pages: 1248-1275

    • DOI

      10.1016/j.spa.2011.12.005

    • NAID

      120005300506

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] K.Ishii, Mathematical Analysis to an approximation scheme for meancurvatureflow2012

    • Author(s)
      Katsuyuki Ishii
    • Journal Title

      International Symposium on Computational Science 2011, GAKUTOInternationalSeries, Mathematical Sciences and Applications

      Volume: 34 Pages: 67-85

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness sets for minimization formulas2012

    • Author(s)
      Yasuhiro Fujita, Hitoshi Ishii
    • Journal Title

      Differential and IntegralEquations

      Volume: (未定)(掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions2011

    • Author(s)
      Hitoshi Ishii
    • Journal Title

      Calc.Var.Partial Differential Equations

      Volume: 42 Issue: 1-2 Pages: 189-209

    • DOI

      10.1007/s00526-010-0385-4

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Infinite dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium2011

    • Author(s)
      M. Efendiev and M. Otani
    • Journal Title

      Annales l'Institut Henri Poincare, Anal.Nonlineaire

      Volume: Vol.28 Issue: 4 Pages: 565-582

    • DOI

      10.1016/j.anihpc.2011.03.006

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Scale-invariant extinction time estimates for some singular diffusion equations2011

    • Author(s)
      Y. Giga and R. V. Kohn
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 30 Issue: 2 Pages: 509-535

    • DOI

      10.3934/dcds.2011.30.509

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotics of the probability minimizing "down-side" risk under partial information2011

    • Author(s)
      H.Nagai
    • Journal Title

      Quantitative Finance

      Volume: 11 Issue: 5 Pages: 789-803

    • DOI

      10.1080/14697680903341814

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011

    • Author(s)
      S. Koike
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 381 Issue: 1 Pages: 110-120

    • DOI

      10.1016/j.jmaa.2011.03.009

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maxima and minima of overall survival functions with fixed marginal distributions and transmission of technology2011

    • Author(s)
      Isao Higuchi, Toshio Mikami
    • Journal Title

      Communications in Statistics, Theory and Methods

      Volume: 41 Issue: 1 Pages: 46-61

    • DOI

      10.1080/03610926.2010.513786

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recurrence and transience of optimal feedback processes associated with Bellman equations of ergodic type2011

    • Author(s)
      Naoyuki Ichihara
    • Journal Title

      Recurrence and transience of optimal feedback processes associated with Bellman equations of ergodic type

      Volume: 49(5) Issue: 5 Pages: 1938-1960

    • DOI

      10.1137/090772678

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of the Approximation Schemeto American Option Pricing via the Discrete Morse Semiflow2011

    • Author(s)
      Katsuyuki Ishii, Seiro Omata
    • Journal Title

      Appl Math Optim

      Volume: 64 Issue: 3 Pages: 363-415

    • DOI

      10.1007/s00245-011-9145-x

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An optimal logarithmic Sobolev inequality with Lipschitz constants2011

    • Author(s)
      Yasuhiro Fujita
    • Journal Title

      Journal of Functional Analysis

      Volume: 261 Issue: 5 Pages: 1133-1144

    • DOI

      10.1016/j.jfa.2011.04.011

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] ABP 最大値原理について2016

    • Author(s)
      小池茂昭
    • Organizer
      日本数学会年会(企画特別講演)
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] The vanishing discount problem and generalized Mather measures2016

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Introduction to Modern Mathematics Lecture Series
    • Place of Presentation
      精華大学(Yau Mathematical Sciences Center),北京,中国
    • Year and Date
      2016-03-11
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2016

    • Author(s)
      Hitoshi Ishii
    • Organizer
      北航数学フォーラム
    • Place of Presentation
      北京航空航天大学,北京,中国
    • Year and Date
      2016-03-10
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Metastability results for a quasi-linear parabolic equation with drift2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      3rd Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      大阪大学(大阪府豊中市)
    • Year and Date
      2015-12-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Holder continuity for subsolutions of integro-differential equations2015

    • Author(s)
      Shigeaki Koike
    • Organizer
      偏微分方程式の漸近問題と粘性解
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-12-04
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms2015

    • Author(s)
      Hiroyoshi Mitake
    • Organizer
      偏微分方程式の漸近問題と粘性解
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-12-03
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A boundary value problem of the Neumann type for elliptic equations on the positive orthant2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Mostly Maximum Principle
    • Place of Presentation
      Castello Aragonese,アグロポリ,イタリア
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On large time behavior of solutions to a level set eikonal mean curvature flow equation with source terms for nucleation2015

    • Author(s)
      Yoshikazu Giga
    • Organizer
      Hamilton-Jacobi equations: at the crossroads of PDE, Dynamical Systems & Geometry
    • Place of Presentation
      Il Palazzone, コルトナ,イタリア
    • Year and Date
      2015-06-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic Mather measure and a discounted approximation2015

    • Author(s)
      Hiroyoshi Mitake
    • Organizer
      Hamilton-Jacobi equations: at the crossroads of PDE, Dynamical Systems & Geometry
    • Place of Presentation
      Il Palazzone, コルトナ,イタリア
    • Year and Date
      2015-06-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A convergence result for viscous Hamilton-Jacobi equations with Neumann BC2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Hamilton-Jacobi equations: at the crossroads of PDE, Dynamical Systems & Geometry
    • Place of Presentation
      Il Palazzone,コルトナ,イタリア
    • Year and Date
      2015-06-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An asymptotic problem for viscous Hamilton-Jacobi equations with the Neumann condition2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Geometric Properties for Parabolic and Elliptic PDEs 4th Italian--Japanese Workshop
    • Place of Presentation
      GrandHotel San Pietro,パリヌーロ,イタリア
    • Year and Date
      2015-05-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般領域における複素ギンツブルグ-ランダウ方程式の可解性2015

    • Author(s)
      大谷光春,清水翔司
    • Organizer
      日本数学会実函数論分科会
    • Place of Presentation
      明治大学(東京千代田区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] xponential attractor of some autonomous double-diffusive convection2015

    • Author(s)
      大谷光春,内田俊
    • Organizer
      日本数学会実函数論分科会
    • Place of Presentation
      明治大学(東京千代田区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] Metastability for parabolic equations with drift2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      CAMP/Nonlinear PDE
    • Place of Presentation
      シカゴ大学,シカゴ,米国
    • Year and Date
      2015-03-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Nonlinear Elliptic PDEs at the End of the World
    • Place of Presentation
      Magallanes University,プンタ アレナス,チリ
    • Year and Date
      2015-03-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Asymptotic problems for Hamilton-Jacobi equations with the Neumann condition2015

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Workshop on Hamiltonian dynamical systems
    • Place of Presentation
      復旦大学,上海,中国
    • Year and Date
      2015-01-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Recent Advances in Analysis and Geometry Workshop at TSIMF
    • Place of Presentation
      TSIMF,三亜,中国
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Convergence of solutions of discount problems to the ergodic problem in optimal control2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Recent Advances in Analysis and Geometry Workshop at TSIMF
    • Place of Presentation
      TSIMF, 三亜,中国
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Nonlinear PDE Workshop at Tohoku University
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2014-11-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      The Ninth Meeting on Probability and PDE
    • Place of Presentation
      津田塾大学(東京都小平市)
    • Year and Date
      2014-11-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The solvability of complex Ginzburg-Landau equation focusing on parabolicity2014

    • Author(s)
      大谷光春,清水翔司
    • Organizer
      日本数学会実函数論分科会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Global attractor of some autonomous double-diffusive convection system2014

    • Author(s)
      大谷光春,内田俊
    • Organizer
      日本数学会実函数論分科会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Homogenization and Random Phenomenon
    • Place of Presentation
      Institut Mittag-Leffler,ストックホルム, スエーデン
    • Year and Date
      2014-09-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      DFDE2014
    • Place of Presentation
      Peoples' Friendship University of Russia,モスクワ,ロシア
    • Year and Date
      2014-08-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Metastability for parabolic equations with drift2014

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Beyond Hamilton-Jacobi in Avignon
    • Place of Presentation
      Palais des Papes, アヴィニョン,フランス
    • Year and Date
      2014-04-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Eigenvalue problems for fully nonlinear second-order elliptic PDE on balls2014

    • Author(s)
      生駒典久,石井仁司
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] The solvability of double-diffusive convection system in general domains2014

    • Author(s)
      内田俊 ,大谷光春
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Metastability in a parabolic equation with a drift term2014

    • Author(s)
      H. Ishii
    • Organizer
      AMCS Seminar
    • Place of Presentation
      King Abdullah University of Science and Technology (KAUST),サウジアラビア
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Boundary integrals involving the mean curvature for mean-convex domain2014

    • Author(s)
      Y. Giga
    • Organizer
      International Workshop on PDEs and Related Topics in Nonlinear Problems
    • Place of Presentation
      広島大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Uniqueness theorems for H-J-B equations of optimal consumption-investment and verification theorems2014

    • Author(s)
      H. Nagai
    • Organizer
      International workshop on PDEs and related topics in nonlinear problems
    • Place of Presentation
      広島大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On some mathematical models for swelling process of mitochondria2014

    • Author(s)
      Mitsuharu Otani
    • Organizer
      Conference on Nonlinear Phenomena in Biology, Physics and Mechanics
    • Place of Presentation
      Helmholtz Center, Munchen, ドイツ
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Asymptotic analysis for the eikonal equation with the dynamical boundary conditions2013

    • Author(s)
      H. Ishii
    • Organizer
      Workshop on nonlinear PDEs {PDE approach to network and related topics{
    • Place of Presentation
      東北大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Vanishing diffusion limit of a parabolic equation with a drift term2013

    • Author(s)
      H. Ishii
    • Organizer
      3rd Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE’s
    • Place of Presentation
      東京工業大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Metastability in a parabolic equation with a drift term2013

    • Author(s)
      H. Ishii
    • Organizer
      Quasilinear PDEs and Game Theory
    • Place of Presentation
      Uppsala University,スエーデン
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Analyticity of the Stokes semigroup in space of bounded functions2013

    • Author(s)
      Y. Giga
    • Organizer
      Analysis Seminar
    • Place of Presentation
      Courant Institute of Mathematical Sciences, 米国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Evolution equations with very singular diffusivity I, II, III, IV2013

    • Author(s)
      Y. Giga
    • Organizer
      Theme Semester on Game Theory and PDEs
    • Place of Presentation
      University of Pittsburgh, 米国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On some macroscopic PDE models for evolving phase boundaries2013

    • Author(s)
      Y. Giga
    • Organizer
      CNA (Center for Nonlinear Analysis) Seminar
    • Place of Presentation
      Carnegie Mellon University, 米国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Analyticity of the Stokes semigroup in spaces of bounded functions2013

    • Author(s)
      Y. Giga
    • Organizer
      CCMA PDEs and Numerical Methods Seminar Series
    • Place of Presentation
      The Pennsylvania State University, 米国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On a non-blow up criterion involving vorticity direction under the non-slip boundary condition for the three-dimensional Navier-Stokes flow2013

    • Author(s)
      Y. Giga
    • Organizer
      The Navier-Stokes Equations and Related Topics
    • Place of Presentation
      University of Oxford,英国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Total variation flow of non-divergence type in multi-dimensional spaces and related topics2013

    • Author(s)
      Y. Giga
    • Organizer
      Quasilinear PDEs and game theory
    • Place of Presentation
      Uppsala University,スエーデン
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Large deviation control arising from optimal investment2013

    • Author(s)
      H. Nagai
    • Organizer
      Stochastic Analysis and Control: 50 years of scientific activities of Professor Jerzy Zabczyk
    • Place of Presentation
      Bedlewo, Posnan,ポーランド
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Robustness on large deviation estimates for controlled semi-martingales2013

    • Author(s)
      H. Nagai
    • Organizer
      Stochastic processes and their statistics in finance
    • Place of Presentation
      沖縄,那覇
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] H-J-B equations of optimal consumption-investment and verification theorems2013

    • Author(s)
      H. Nagai
    • Organizer
      The second conference on engineering and computational mathematics, Workshop 1 Computational and mathematical finance
    • Place of Presentation
      Hong Kong Polytech University, 香港
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Global solvability of some double-diffusive convection systems2013

    • Author(s)
      Mitsuharu Otani
    • Organizer
      International Workshop on Diffuse Interface Models-DIMO2013
    • Place of Presentation
      The Bellavista Relax Hotel, Levico Terme, イタリア
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On an ODE-PDE model for the swelling process of mitochondria2013

    • Author(s)
      Mitsuharu Otani
    • Organizer
      The Diliman Mathematics Research Workshop in celebration of the sixtieth birthday of Professor Polly Wee Sy
    • Place of Presentation
      University of the Philippines, Diliman, フィリピン
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Robust estimates of certain large deviation probabilities for controlled semi-martingales2013

    • Author(s)
      H. Nagai
    • Organizer
      Workshop on Stochastic Processes and Applications
    • Place of Presentation
      NCTS, National Tsing Hua University, 台湾
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Probability seminar
    • Place of Presentation
      國立中央大學(台湾)(招待講演)
    • Year and Date
      2012-03-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Probability seminar
    • Place of Presentation
      國立交通大學(台湾)(招待講演)
    • Year and Date
      2012-03-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time asymptotic problems for stochastic optimal control2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      数理物理と確率解析
    • Place of Presentation
      湘南国際村センター(逗子市)(招待講演)
    • Year and Date
      2012-03-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Some remarks on large deviation estimates for controlled semi-martingales2012

    • Author(s)
      Hideo Nagai
    • Organizer
      2012 NCTS Workshop on Stochastic processes and Applications
    • Place of Presentation
      新竹市(台湾)(招待講演)
    • Year and Date
      2012-03-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      CREST and 4th Ritsumeikan-Florence Workshop on Risk, Simulation and Related Topics
    • Place of Presentation
      別府(大分)(招待講演)
    • Year and Date
      2012-03-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Lipschitz regularizing effect and its application for Hamilton--Jacobi equations with discontinuous initial data2012

    • Author(s)
      Yasuhiro Fujita
    • Organizer
      第13回非線形偏微分方程式研究会
    • Place of Presentation
      早稲田大学(東京都)(招待講演)
    • Year and Date
      2012-03-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      第13回非線形偏微分方程式研究会
    • Place of Presentation
      早稲田大学(東京都)(招待講演)
    • Year and Date
      2012-03-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      第13回非線形偏微分方程式研究会
    • Place of Presentation
      早稲田大学(東京都)(招待講演)
    • Year and Date
      2012-03-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Seminaire d'analyse appliquee
    • Place of Presentation
      ブレスト(フランス)(招待講演)
    • Year and Date
      2012-02-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      愛媛大学理学部数学科談話会
    • Place of Presentation
      愛媛大学(愛媛県松山市)(招待講演)
    • Year and Date
      2012-02-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2012

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Analysis seminar
    • Place of Presentation
      神戸大学(神戸市)(招待講演)
    • Year and Date
      2012-02-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      第29回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学西新プラザ(福岡)(招待講演)
    • Year and Date
      2012-01-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stochastic Perturbations to HamiltonianFlows in 2D : a PDE approach2012

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Probability and PDE 2012
    • Place of Presentation
      広島大学(東広島)(招待講演)
    • Year and Date
      2012-01-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large deviation estimates for controlled semi-martingales2012

    • Author(s)
      H. Nagai
    • Organizer
      2012 Ajou workshop on financial economics and mathematics
    • Place of Presentation
      Suwon, 韓国
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Estimates of certain large deviation probabilities for controlled semi-martingales2012

    • Author(s)
      H. Nagai
    • Organizer
      Perspective in Analysis and Probability, Conference in honor of Freddy Delbaen
    • Place of Presentation
      ETH Zurich, スイス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Stochastic optimal transportation and related topics2012

    • Author(s)
      三上敏夫
    • Organizer
      変分問題の展開- 確率論と交錯する変分問題
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stochastic optimal transportation and marginal problem for stochastic processes2011

    • Author(s)
      Toshio Mikami
    • Organizer
      Dynamical Optimization in PDE and Geometry : Applica-tions to Hamilton-Jacobi, Ergodic Optimization, Weak KAM
    • Place of Presentation
      ボルドー(フランス)(招待講演)
    • Year and Date
      2011-12-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradient2011

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Dynamical Optimization in PDE and Geometry : Applica-tions to Hamilton-Jacobi, Ergodic Optimization, Weak KAM
    • Place of Presentation
      ボルドー(フランス)(招待講演)
    • Year and Date
      2011-12-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton Jacobi equations with Neumann type BC2011

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Dynamical Optimization in PDE and Geometry : Applica-tions to Hamilton-Jacobi, Ergodic Optimization, Weak KAM
    • Place of Presentation
      ボルドー(フランス)(招待講演)
    • Year and Date
      2011-12-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Crystalline curvature flow with spatially in homogeneous driving force2011

    • Author(s)
      Yoshikazu Giga
    • Organizer
      Geometric Partial Differential Equations : Theory, Numerics and Applications
    • Place of Presentation
      オーバーボルファッハ(ドイツ)(招待講演)
    • Year and Date
      2011-11-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] 面積最小化問題に関連した非等方的平均曲率流に対する近似スキーム2011

    • Author(s)
      石井克幸
    • Organizer
      名古屋大学微分方程式セミナー
    • Place of Presentation
      名古屋大学(名古屋)(招待講演)
    • Year and Date
      2011-11-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi-Bellman equations with superlinear nonlinearity in gradients2011

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Osaka probability seminar
    • Place of Presentation
      大阪大学(豊中市)(招待講演)
    • Year and Date
      2011-10-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the ABP maximum principle for viscosity solutions2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学(東広島)(招待講演)
    • Year and Date
      2011-10-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time asymptotic problems for viscous Hamilton-Jacobi equations2011

    • Author(s)
      市原直幸
    • Organizer
      2011年度日本数学会秋季総合分科会
    • Place of Presentation
      信州大学(松本)
    • Year and Date
      2011-09-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 制御項を含む大偏差確率の評価とエルゴード型H-J-B方程式2011

    • Author(s)
      長井英生
    • Organizer
      日本数学会秋季総合分科会統計数学分科会特別講演
    • Place of Presentation
      信州大学(松本)(招待講演)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stochastic optimal transportation and marginal problem for stochastic processes2011

    • Author(s)
      Toshio Mikami
    • Organizer
      Probability and Geometry
    • Place of Presentation
      熊本大学(熊本)(招待講演)
    • Year and Date
      2011-09-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the ABP maximum principie for Lp-viscosity solutions of fully nonlinear PDE2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      Nonlinear Dynamics and PDE国際研究集会
    • Place of Presentation
      九州大学(博多)(招待講演)
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Eikonal equations in metric spaces2011

    • Author(s)
      Yoshikazu Giga
    • Organizer
      Front propagation, biological problems and related topics : viscosity solution methods for asymptotic analysis
    • Place of Presentation
      北海道大学(札幌)(招待講演)
    • Year and Date
      2011-09-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2011

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      Propagation, biological problem and related topics : viscosity solution methods forasymptoticanalysis
    • Place of Presentation
      北海道大学(札幌)(招待講演)
    • Year and Date
      2011-09-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time asymptotic problems for some optimal stochastic control and associated partial differential equations2011

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      広島応用解析セミナー(第16回)
    • Place of Presentation
      広島大学(東広島)(招待講演)
    • Year and Date
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Small stochastic perturbations of Hamiltonian flows : a PDE approach2011

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Sixth International Conference on Differential and Functional Differential Equations
    • Place of Presentation
      モスクワ(ロシア)(招待講演)
    • Year and Date
      2011-08-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] A few topic on Harailton-Jacobi equations arising from the theory of crystal growth2011

    • Author(s)
      Yoshikazu Giga
    • Organizer
      International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      バンクーバー(カナダ)(招待講演)
    • Year and Date
      2011-07-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time asymptotic problems for optimal stochastic control with superlinear cost2011

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Kyusyu probability seminar
    • Place of Presentation
      九州大学(福岡市)(招待講演)
    • Year and Date
      2011-07-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Asymptotic estimates of probability minimizing down-side risk and analysis of H-J-B equations of ergodic type2011

    • Author(s)
      Hideo Nagai
    • Organizer
      The 2nd NTH conference on Finance and Insurance Mathematics
    • Place of Presentation
      ブラウンシュヴァイク(ドイツ)(招待講演)
    • Year and Date
      2011-06-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] On the ABP maxinmum principle and applications2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      幾何学的偏微分方程式における保存則と正則性の研究
    • Place of Presentation
      京都大学数理解析研究所(京都)(招待講演)
    • Year and Date
      2011-06-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hamilton-Jacobi equations with discontinuous source terms2011

    • Author(s)
      Yoshikazu Giga
    • Organizer
      Nonlinear Diffusion : Algorithms, Analysis and Application
    • Place of Presentation
      ウォリック(イギリス)(招待講演)
    • Year and Date
      2011-06-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time asymptotic problems for some stochastic control2011

    • Author(s)
      Naoyuki Ichihara
    • Organizer
      Tokyo probability seminar
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2011-06-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stochastic perturbations of Hamiltonian flows : a PDE approach2011

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Riviere-Fabes symposium
    • Place of Presentation
      ミネアポリス(米国)(招待講演)
    • Year and Date
      2011-04-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] Long-time behavior of solutions of Hamilton-Jacobi equations with Neumann type boundary conditions2011

    • Author(s)
      Hitoshi Ishii
    • Organizer
      Riviere-Fabes symposium
    • Place of Presentation
      ミネアポリス(米国)(招待講演)
    • Year and Date
      2011-04-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large time behavior of solutions of Hamilton-Jacobi equations with the Neumann boundary condition

    • Author(s)
      H. Ishii
    • Organizer
      International Conference in Geometric and Nonlinear Partial Differential Equation
    • Place of Presentation
      西安交通大学, 中国
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Small stochastic perturbations of Hamiltonian flows in 2D: a PDE approach

    • Author(s)
      H. Ishii
    • Organizer
      5th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      CIRM Luminy (マルセーユ大学), フランス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Eigenvalue problem for fully nonlinear elliptic PDE on balls

    • Author(s)
      H. Ishii
    • Organizer
      Mostly Maximum Principle
    • Place of Presentation
      ローマ大学 (サピエンザ校), イタリア
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] ハミルトン・ヤコビ方程式に対する非線形ノイマン型境界値問題の解の 長時間挙動

    • Author(s)
      三竹大寿, 石井仁司, G. Barles
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Small stochastic perturbations of Hamiltonian flows in 2D

    • Author(s)
      H. Ishii
    • Organizer
      東北大学非線形偏微分方程式ワークショップ
    • Place of Presentation
      東北大学井川ホール
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] A PDE approach to asymptotic solutions of Hamilton-Jacobi equations

    • Author(s)
      H. Ishii
    • Organizer
      CAPM/Nonlinear PDE
    • Place of Presentation
      シカゴ大学数学科(Eckhart 202), 米国
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Very singular diffusion equations: second and fourth order models for crystal growth phenomena

    • Author(s)
      Y. Giga
    • Organizer
      Free Boundary Problems
    • Place of Presentation
      Chiemsee, ドイツ
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] On some macroscopic PDE models for crystal growth - a survey

    • Author(s)
      Y. Giga
    • Organizer
      Seminar on nonlinear waves
    • Place of Presentation
      Universitat Wurzburg, ドイツ
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 結晶成長問題と強特異拡散方程式

    • Author(s)
      儀我 美一
    • Organizer
      RIMS共同研究『異常拡散の数理』
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] A viscosity approach to total variation flows of non-divergence type

    • Author(s)
      Y. Giga
    • Organizer
      ERC Workshop on Geometric Partial Differential Equations
    • Place of Presentation
      Centro di Ricerca Matematica Ennio De Giorgi, イタリア
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] The solbability of double-difusive convection system with Soret's cooeficient depending on the concentration of solute

    • Author(s)
      内田俊, 大谷光春
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] スピン・渦度相互作用境界条件における3次元極性流体の初期値問題

    • Author(s)
      大谷光春, 松浦啓
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Annual Research Report
  • [Book] Hamilton-Jacobi equations: approximations, numerical analysis and applications2013

    • Author(s)
      Y. Achdou, G. Barles, H. Ishii, G. L. Litvinov
    • Total Pages
      301
    • Publisher
      Springer
    • Related Report
      2013 Annual Research Report
  • [Remarks] Welcome to Hitoshi Ishii's home page

    • URL

      http://www.edu.waseda.ac.jp/~ishii/

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
  • [Remarks] Welcome to Hitoshi Ishii's home page

    • URL

      http://www.edu.waseda.ac.jp/~ishii/

    • Related Report
      2013 Annual Research Report
  • [Remarks] http://www.edu.waseda.ac.jp/~ishii/

    • Related Report
      2012 Annual Research Report

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Published: 2011-04-06   Modified: 2023-03-16  

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