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Research on the theory of viscosity solutions and its applications

Research Project

Project/Area Number 15340051
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

ISHII Hitoshi  Waseda University, Faculty of Education and Integrated Arts and Sciences, Professor, 教育・総合科学学術院, 教授 (70102887)

Co-Investigator(Kenkyū-buntansha) GIGA Yoshikazu  University of Tokyo, Graduate School of Mathematical Sciences, Professor, 大学院・数理科学研究科, 教授 (70144110)
KOIKE Shigeaki  Saitama University, Faculty of Science, Professor, 理学部, 教授 (90205295)
NAGAI Hideo  Osaka University, Graduate School of Engineering Science, Professor, 大学院・基礎工学研究科, 教授 (70110848)
ISHII Katusyuki  Kobe University, Faculty of Maritime Sciences, Associte professor, 海事科学部, 助教授 (40232227)
MIKAMI Toshio  Hokkaido University, Graduate School of Science, Associate professor, 大学院・理学研究科, 助教授 (70229657)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥12,100,000 (Direct Cost: ¥12,100,000)
Fiscal Year 2005: ¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2004: ¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2003: ¥4,300,000 (Direct Cost: ¥4,300,000)
Keywordsviscosity solutions / curvature flow / mathematical finance / optimal control / level set approach / asymptotic problems / 凸化ガウス曲率流
Research Abstract

We proposed and proved the effectiveness of singular diffusions in the vertical direction in the level set approach to first-order partial differential equations (pde for short). We established the strong maximum principle to viscosity solutions of fully nonlinar elliptic pde including the minimal surface eqaution. We builded an example of fully nonlinear uniformly elliptic pde for which the maximum principle does not holds, and established the maximum principle, Holder regularity, and the solvability of the Dirichlet problem for such nonlinear pde under suitable hypotheses. We introduced the convexified Gauss curvature flow, formulated the level set approach to its generalizations, and established existence and uniqueness of solutions of the pde which appears in the level set approach. We also introduced a stochastic approaximation scheme to the generalized convexified Gauss flow and proved its convergence. We proved on a mathematical basis the occurrence of Berg's effect when the crystal shape is a cylinder. For the BMO (Bence-Merrima-Osher) scheme, we gave a new proof of its convergence to the mean curvature flow and the optimal estimate on the rate of convergence. We proved the convergence the asymptotic solutions as time goes to infinity of solutions of parabolic pde with the Ornstein-Uhlenbeck operator. We analized the simultaneous effects of homogenization and vanishing viscosity in periodic homogenization of uniformly elliptic pde. We proved existence and uniqueness of the limit in the zero-noise of certain h-path processes and established existence and uniqueness of the Monge-Kantorovich problem with a quadratic cost. Regarding mathematical finance, we studied optimal stopping time problems and risk-sensitive portfolio optimization problems for general factor models and constructed their optimal strategies. We analized the asymptotic behavior of solutions of p-Laplace equations as p goes to infinity in a fairly general setting.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (167 results)

All 2006 2005 2004 2003 Other

All Journal Article (151 results) Book (8 results) Publications (8 results)

  • [Journal Article] Perron's method for Lp-viscosity solutions2006

    • Author(s)
      S.Koike
    • Journal Title

      Saitama Math. J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Homogenization of Hamilton-Jacobi equations by an extended viscosity solution2006

    • Author(s)
      N.Yamada
    • Journal Title

      Fukuoka Univ. Sci. Rep. 36

      Pages: 1-5

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Perron's method for L^P-viscosity solutions.2006

    • Author(s)
      S.Koike
    • Journal Title

      Saitama Math.J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Homogenization of Hamilton-Jacobi equations by an extended viscosity solution.2006

    • Author(s)
      N.Yamada
    • Journal Title

      Fukuoka Univ.Sci.Rep. 36, no.1

      Pages: 1-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evolution inclusions governed by the difference of two subdifferentials in reflexive Banach spaces2005

    • Author(s)
      G.Akagi, M.Otani
    • Journal Title

      J. Differential Equations 209

      Pages: 392-415

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A refinement of the Poincare inequality for Kolmogorov operators on Rd2005

    • Author(s)
      Y.Fujita
    • Journal Title

      J. Inequal. Appl.

      Pages: 25-31

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Hessian estimates for viscous Hamilton-Jacobi equations with the Ornstein-Uhlenbeck operator2005

    • Author(s)
      Y.Fujita
    • Journal Title

      Differential Integral Equations 18

      Pages: 1383-1396

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Self-similar expanding solutions in a sector for a crystalline flow2005

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

      SIAM J. Math. Anal. 37

      Pages: 1207-1226

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Uniform local solvability for the Navier-Stokes equations with the Coriolis force2005

    • Author(s)
      Y.Giga, K.Inui, A.Mahalov, S.Matsui
    • Journal Title

      Methods Appl. Anal. 12

      Pages: 381-393

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An existence result for a discretized constrained gradient system of total variation flow in color image processing2005

    • Author(s)
      Y.Giga, H.Kuroda, N.Yamazaki
    • Journal Title

      Interdiscip. Inform. Sci. 11

      Pages: 199-204

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations2005

    • Author(s)
      Y.Giga, M.Ohnuma
    • Journal Title

      Int. J. Pure Appl. Math. 22

      Pages: 165-184

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stability of facets of self-similar motion of a crystal2005

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

      Adv. Differential Equations 10

      Pages: 601-634

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Blow-up directions at space infinity for solutions of semilinear heat equations2005

    • Author(s)
      Y.Giga, N.Umeda
    • Journal Title

      Bol. Soc. Parana. Mat. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature2005

    • Author(s)
      Y.Goto, K.Ishii, T.Ogawa
    • Journal Title

      Commun. Pure Appl. Anal. 4

      Pages: 311-339

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis2005

    • Author(s)
      H.Hontani, M.-H.Giga, Y.Giga, K.Deguchi
    • Journal Title

      Discrete Appl. Math 147

      Pages: 265-285

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Limits of solutions of p-Laplace equations as p goes to infinity and related variational problems2005

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      SIAM J. Math. Anal. 37

      Pages: 411-437

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal rate of convergence of the Bence-Merriman-Osher algorithm for motion by mean curvature2005

    • Author(s)
      K.Ishii
    • Journal Title

      SIAM J. Math. Anal. 37

      Pages: 841-866

    • NAID

      120000949789

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An equivalent definition of renormalized entropy solutions for scalar conservation laws2005

    • Author(s)
      K.Kobayasi, S.Takagi
    • Journal Title

      Differential Integral Equations 18

      Pages: 19-33

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A kinetic approch to comparison theorems for degenerate parabolic equations2005

    • Author(s)
      K.Kobayasi
    • Journal Title

      京都大学数理解析研究所講究録 1475

      Pages: 155-167

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial. Ekvac. 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Convergence of periodic systems governed by subdifferential operators.2005

    • Author(s)
      M.Otani
    • Journal Title

      Mathematical approach to nonlinear phenomena : modelling, analysis and simulation; GAKUTO Internat. Ser. Math. Sci. Appl. 23

      Pages: 217-228

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Viscosity solutions with shocks for second order equations2005

    • Author(s)
      M.-H.Sato
    • Journal Title

      京都大学数理解析研究所講究録 1428

      Pages: 41-57

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evolution inclusions governed by the difference of two subdifferentials in reflexive Banach spaces.2005

    • Author(s)
      G.Akagi, M.Otani
    • Journal Title

      J.Differential Equations 209, no.2

      Pages: 392-415

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A refinement of the Poincare inequality for Kolmogorov operators on R^d.2005

    • Author(s)
      Y.Fujita
    • Journal Title

      J.Inequal.Appl. no.1

      Pages: 25-31

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Hessian estimates for viscous Hamilton-Jacobi equations with the Ornstein-Uhlenbeck operator.2005

    • Author(s)
      Y.Fujita
    • Journal Title

      Differential Integral Equations 18, no.12

      Pages: 1383-1396

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Self-similar expanding solutions in a sector for a crystalline flow.2005

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

      SIAM J.Math.Anal. 37, no.4

      Pages: 1207-1226

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Uniform local solvability for the Navier-Stokes equations with the Coriolis force.2005

    • Author(s)
      Y.Giga, K.Inui, A.Mahalov, S.Matsui
    • Journal Title

      Methods Appl.Anal. 12, no.4

      Pages: 381-393

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An existence result for a discretized constrained gradient system of total variation flow in color image processing.2005

    • Author(s)
      Y.Giga, H.Kuroda, N.Yamazaki
    • Journal Title

      Interdiscip.Inform.Sci. 11, no.2

      Pages: 199-204

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations.2005

    • Author(s)
      Y.Giga, M.Ohnuma
    • Journal Title

      Int.J.Pure Appl.Math. 22, no.2

      Pages: 165-184

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stability of facets of self-similar motion of a crystal.2005

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

      Adv.Differential Equations 10, no.6

      Pages: 601-634

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Blow-up directions at space infinity for solutions of semilinear heat equations.2005

    • Author(s)
      Y.Giga, N.Umeda
    • Journal Title

      Bol.Soc.Parana.Mat. (3)23, no.1-2

      Pages: 9-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature.2005

    • Author(s)
      Y.Goto, K.Ishii, T.Ogawa
    • Journal Title

      Commun.Pure Appl.Anal. 4, no.2

      Pages: 311-339

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis.2005

    • Author(s)
      H.Hontani, M.-H.Giga, Y.Giga, K.Deguchi
    • Journal Title

      Discrete Appl.Math. 147, no.2-3

      Pages: 265-285

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Limits of solutions of p-Laplace equations as p goes to infinity and related variational problems.2005

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      SIAM J.Math.Anal. 37, no.2

      Pages: 411-437

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal rate of convergence of the Bence-Merriman-Osher algorithm for motion by mean curvature.2005

    • Author(s)
      K.Ishii
    • Journal Title

      SIAM J.Math.Anal. 37, no.3

      Pages: 841-866

    • NAID

      120000949789

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An equivalent definition of renormalized entropy solutions for scalar conservation laws.2005

    • Author(s)
      K.Kobayasi, S.Takagi
    • Journal Title

      Differential Integral Equations 18, no.1

      Pages: 19-33

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A kinetic approch to comparison theorems for degenerate parabolic equations,2005

    • Author(s)
      K.Kobayasi
    • Journal Title

      京都大学数理解析研究所講究録 1475

      Pages: 155-167

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal consumption and portfolio choice with stopping.2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial.Ekvac. 48, no.2

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Convergence of periodic systems governed by subdifferential operators. Math-ematical approach to nonlinear phenomena : modelling, analysis and simulations,2005

    • Author(s)
      M.Otani
    • Journal Title

      GAKUTO Internat.Ser.Math.Sci.Appl.,(Gakkotosho, Tokyo,) 23

      Pages: 217-228

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Viscosity solutions with shocks for second order equations.2005

    • Author(s)
      M.-H.Sato
    • Journal Title

      京都大学数理解析研究所講究録 No.1428

      Pages: 41-57

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Limits of solutions of p-Laplace equations as p goes to infinity and related variational problems2005

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      SIAM J.Math.Anal. 37巻2号

      Pages: 411-437

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Relaxation in the Cauchy problem for Hamilton-Jacobi equations2005

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      数理解析研究所講究録 1428巻

      Pages: 58-71

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A note on homogenization of fully nonlinear degenerate elliptic equations2005

    • Author(s)
      H.Ishii
    • Journal Title

      数理解析研究所講究録 1428巻

      Pages: 143-149

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Stefan type problem arising in modeling ice crystals growing from vapor2005

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

      数理解析研究所講究録 1428巻

      Pages: 72-83

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On singular vertical diffusion for some Hamilton-Jacobi equations2005

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

      数理解析研究所講究録 1428

      Pages: 131-142

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Viscosity solutions with shocks for second order equations2005

    • Author(s)
      Y.Giga, Y.Kashima, M.-H.Sato
    • Journal Title

      数理解析研究所講究録 1428巻

      Pages: 41-57

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial.Ekvac. 48巻2号

      Pages: 183-202

    • NAID

      130000141285

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Perron's method -revisited-2005

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録 1428

      Pages: 1-8

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Duality in stochastic optimal control and applications2005

    • Author(s)
      T.Mikami, M.Thieullen
    • Journal Title

      数理解析研究所講究録 1428巻

      Pages: 106-119

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Optimal rate of convergence of the Bence-Merriman-Osher algorithm for motion by mean curvature2005

    • Author(s)
      K.Ishii
    • Journal Title

      SIAM J.Math.Anal. 37巻3号

      Pages: 841-866

    • NAID

      120000949789

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature2005

    • Author(s)
      K.Ishii, Y.Goto, T.Ogawa
    • Journal Title

      Commun.Pure Appl.Anal. 4巻2号

      Pages: 311-339

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Hessian estimates for viscous Hamilton-Jacobi equations with the Ornstein-Uhlenbeck operator2005

    • Author(s)
      Y.Fujita
    • Journal Title

      Differential Integral Equations 18巻12号

      Pages: 1383-1396

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A refinement of the Poincare inequality for Kolmogorov operators on Rd2005

    • Author(s)
      Y.Fujita
    • Journal Title

      J.Inequal.Appl. 2005

      Pages: 25-31

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On Bellman equations of ergodic type with Ornsten-Uhlenbeck operator2005

    • Author(s)
      Y.Fujita
    • Journal Title

      数理解析研究所講究録 1428巻

      Pages: 84-90

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A PDE approach for motion of phase-boundaries by a singular interfacial energy. Stochastic analysis on large scale interacting systems2004

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

      Adv. Stud. Pure Math. 39

      Pages: 213-232

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local solvability of a constrained gradient system of total variation2004

    • Author(s)
      Y.Giga, Y.Kashima, N.Yamazaki
    • Journal Title

      Abstr. Appl. Anal.

      Pages: 651-682

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On breakdown of solutions of a constrained gradient system of total variation2004

    • Author(s)
      Y.Giga, H.Kuroda
    • Journal Title

      Bol. Soc. Parana. Mat. 22

      Pages: 9-20

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On blow-up rate for sign-changing solutions in a convex domain2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Math. Methods Appl. Sci. 27

      Pages: 1771-1782

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Blow up rate for semilinear heat equations with subcritical nonlinearity2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Indiana Univ. Math. J. 53

      Pages: 483-514

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Existence of self-similar evolution of crystals grown from supersaturated vapor2004

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

      Interfaces Free Bound. 6

      Pages: 405-421

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Convexified Gauss curvature flow of sets : a stochastic approximation2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      SIAM J. Math. Anal. 36

      Pages: 552-579

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Motion of a graph by R-curvature.2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Arch. Ration. Mech. Anal. 171

      Pages: 1-23

    • NAID

      120000955918

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A level set approach to the wearing process of a nonconvex stone2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Calc. Var. Partial Differential Equations 19

      Pages: 53-93

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain2004

    • Author(s)
      H.Ishii, M.-H.Sato
    • Journal Title

      Nonlinear Anal. 57

      Pages: 1077-1098

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An index formula for the degree of (S)+-mappings associated with one-dimensional p-Laplacian2004

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

      Abstr. Appl. Anal.

      Pages: 981-995

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Topological degree for (S)+-mappings with maximal monotone perturbations and its applications to variational inequalities2004

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

      Nonlinear Anal. 59

      Pages: 147-172

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Degree for subdifferential operators in Hilbert spaces2004

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

      Adv. Math. Sci. Appl. 14

      Pages: 307-325

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The principle of symmetric criticality for non-differentiable mappings2004

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

      J. Funct. Anal. 214

      Pages: 428-449

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004

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

      NoDEA Nonlinear Differential Equations Appl. 11

      Pages: 491-509

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Covariance kernel and the central limit theorem in the total variation distance2004

    • Author(s)
      T.Mikami
    • Journal Title

      J. Multivariate Anal. 90

      Pages: 257-268

    • NAID

      120000964098

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Monge's problem with a quadratic cost by the zero-noise limit of h-path processes2004

    • Author(s)
      T.Mikami
    • Journal Title

      Probab. Theory Related Fields 129

      Pages: 245-260

    • NAID

      120000954971

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Risky fraction processes and problems with transaction costs2004

    • Author(s)
      H.Nagai
    • Journal Title

      Stochastic processes and applications to mathematical finance; World Sci. Publ.

      Pages: 271-288

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Risk-sensitive portfolio optimization with full and partial information2004

    • Author(s)
      H.Nagai
    • Journal Title

      Stochastic analysis and related topics in Kyoto; Adv. Stud. Pure Math. 41

      Pages: 257-278

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] L infinity-energy method and its applications2004

    • Author(s)
      M Otani
    • Journal Title

      Nonlinear partial differential equations and their applications; GAKUTO Internat. Ser. Math. Sci. Appl. 20

      Pages: 505-516

    • Description
      「研究成果報告書概要(和文)」より
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      2005 Final Research Report Summary
  • [Journal Article] Time-dependent constraint problems arising from macroscopic critical-state models for type-II superconductivity and their approximations.2004

    • Author(s)
      G.Akagi, M.Otani
    • Journal Title

      Adv.Math.Sci.Appl. 14, no.2

      Pages: 683-712

    • Description
      「研究成果報告書概要(欧文)」より
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      2005 Final Research Report Summary
  • [Journal Article] Evolution inclusions governed by subdifferentials in reflexive Banach spaces.2004

    • Author(s)
      G.Akagi, M.Otani
    • Journal Title

      J.Evol.Equ. 4, no.4

      Pages: 519-541

    • Description
      「研究成果報告書概要(欧文)」より
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      2005 Final Research Report Summary
  • [Journal Article] A PDE approach for motion of phase-boundaries by a singular interfacial energy. Stochastic analysis on large scale interacting systems,2004

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

      Adv.Stud.Pure Math., (Math.Soc.Japan, Tokyo,) 39

      Pages: 213-232

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local solvability of a constrained gradient system of total variation.2004

    • Author(s)
      Y.Giga, Y.Kashima, N.Yamazaki
    • Journal Title

      Abstr.Appl.Anal. no.8

      Pages: 651-682

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On breakdown of solutions of a constrained gradient system of total variation.2004

    • Author(s)
      Y.Giga, H.Kuroda
    • Journal Title

      Bol.Soc.Parana.Mat. (3) 22, no.1

      Pages: 9-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On blow-up rate for sign-changing solutions in a convex domain.2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Math.Methods Appl.Sci. 27, no.15

      Pages: 1771-1782

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Blow up rate for semilinear heat equations with subcritical nonlinearity.2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Indiana Univ.Math.J. 53, no.2

      Pages: 483-514

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Existence of self-similar evolution of crystals grown from supersaturated vapor.2004

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

      Interfaces Free Bound. 6, no.4

      Pages: 405-421

    • Description
      「研究成果報告書概要(欧文)」より
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      2005 Final Research Report Summary
  • [Journal Article] Convexified Gauss curvature flow of sets : a stochastic approximation.2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      SIAM J.Math.Anal. 36, no.2

      Pages: 552-579

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Motion of a graph by R-curvature.2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Arch.Ration.Mech.Anal. 171, no.1

      Pages: 1-23

    • NAID

      120000955918

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A level set approach to the wearing process of a nonconvex stone.2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Calc.Var.Partial Differential Equations 19, no.1

      Pages: 53-93

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain.2004

    • Author(s)
      H.Ishii, M.-H.Sato
    • Journal Title

      Nonlinear Anal. 57, no.7-8

      Pages: 1077-1098

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An index formula for the degree of (S)_+-mappings associated with one-dimensional p-Laplacian.2004

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

      Abstr.Appl.Anal. no.11

      Pages: 981-995

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Topological degree for (S)_+-mappings with maximal monotone perturbations and its applications to variational inequalities.2004

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

      Nonlinear Anal. 59, no.1-2

      Pages: 147-172

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Degree for subdifferential operators in Hilbert spaces.2004

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

      Adv.Math.Sci.Appl. 14, no.1

      Pages: 307-325

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The principle of symmetric criticality for non-differentiable mappings.2004

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

      J.Funct.Anal. 214, no.2

      Pages: 428-449

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms.2004

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

      NoDEA Nonlinear Differential Equations Appl. 11, no.4

      Pages: 491-509

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Covariance kernel and the central limit theorem in the total variation distance.2004

    • Author(s)
      T.Mikami
    • Journal Title

      J.Multivariate Anal. 90, no.2

      Pages: 257-268

    • NAID

      120000964098

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Monge's problem with a quadratic cost by the zero-noise limit of h-path processes.2004

    • Author(s)
      T.Mikami
    • Journal Title

      Probab.Theory Related Fields 129, no.2

      Pages: 245-260

    • NAID

      120000954971

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Risky fraction processes and problems with transaction costs.2004

    • Author(s)
      H.Nagai
    • Journal Title

      Stochastic processes and applications to mathematical finance(World Sci. Publ., River Edge, NJ,)

      Pages: 271-288

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Risk-sensitive portfolio optimization with full and partial information. Stochastic analysis and related topics in Kyoto2004

    • Author(s)
      H.Nagai
    • Journal Title

      Adv.Stud.Pure Math.,(Math.Soc.Japan, Tokyo,) 41

      Pages: 257-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] L^∞-energy method and its applications. Nonlinear partial differential equations and their applications,2004

    • Author(s)
      M.Otani
    • Journal Title

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      Pages: 505-516

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain2004

    • Author(s)
      H.Ishii, M.-H.Sato
    • Journal Title

      Nonlinear Anal. 57/7-8

      Pages: 1077-1098

    • Related Report
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  • [Journal Article] Motion of a graph by R-curvature2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Arch.Ration.Mech.Anal. 171/1

      Pages: 1-23

    • NAID

      120000955918

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A level set approach to the wearing process of a nonconvex stone2004

    • Author(s)
      H.Ishii, T.Mikami
    • Journal Title

      Calc.Var.Partial Differential Equations 19/1

      Pages: 53-93

    • Related Report
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  • [Journal Article] Existence of self-similar evolution of crystals grown from supersaturated vapor. I2004

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

      Interfaces Free Bound. 6/4

      Pages: 405-421

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Local solvability of a constrained gradient system of total variation2004

    • Author(s)
      Y.Giga, Y.Kashima, N.Yamazaki
    • Journal Title

      Abstr.Appl.Anal. 8

      Pages: 651-682

    • Related Report
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  • [Journal Article] On breakdown of solutions of a constrained gradient system of total variation2004

    • Author(s)
      Y.Giga, H.Kuroda
    • Journal Title

      Bol.Soc.Parana.Mat.(3) 22/1

      Pages: 9-20

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  • [Journal Article] On blow-up rate for sign-changing solutions in a convex domain2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Math.Methods Appl.Sci. 27/15

      Pages: 1771-1782

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  • [Journal Article] Blow up rate for semilinear heat equations with subcritical nonlinearity2004

    • Author(s)
      Y.Giga, S.Matsui, S.Sasayama
    • Journal Title

      Indiana Univ.Math.J. 53/2

      Pages: 483-514

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  • [Journal Article] Risk-sensitive portfolio optimization with full and partial information2004

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      H.Nagai
    • Journal Title

      Stochastic Analysis and Related Topics, Advanced Studies in Pure Mathematics 41

      Pages: 257-278

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  • [Journal Article] The principle of symmetric criticality for non-differentiable mappings2004

    • Author(s)
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    • Journal Title

      J.Func.Anal. 214/2

      Pages: 428-449

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  • [Journal Article] Monge's problem with a quadratic cost by the zero-noise limit of h-path processes2004

    • Author(s)
      T.Mikami
    • Journal Title

      Probab.Theory Related Fields 129/2

      Pages: 245-260

    • NAID

      120000954971

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  • [Journal Article] Principle of symmetric criticality and evolution equations2003

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      Pages: 1-10

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Evolution equations and subdifferentials in Banach spaces2003

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      Dynamical systems and differential equations (Wilmington, NC, 2002) ; Discrete Contin. Dyn. Syst.

      Pages: 11-20

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions2003

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      Ann. Inst. H. Poincare Anal. Non Lineaire 20

      Pages: 293-332

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Anisotropic curvature flow in a very thin domain2003

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      Pages: 257-281

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations2003

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      Commun. Pure Appl. Anal. 2

      Pages: 447-459

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Minimal vertical singular diffusion preventing overturning for the Burgers equation. Recent advances in scientific computing and partial differential equations (Hong Kong, 2002)2003

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      Contemp. Math., Amer. Math. Soc., Providence, RI 330

      Pages: 73-88

    • Description
      「研究成果報告書概要(和文)」より
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      Pages: 95-102

    • Description
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  • [Journal Article] Anisotropic curvature effects in interface dynamics2003

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      Sugaku Expositions 16

      Pages: 135-152

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] On constrained equations with singular diffusivity2003

    • Author(s)
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    • Journal Title

      Methods Appl. Anal. 10

      Pages: 253-277

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Berg's effect2003

    • Author(s)
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    • Journal Title

      Adv. Math. Sci. Appl. 13

      Pages: 625-637

    • Description
      「研究成果報告書概要(和文)」より
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      Pages: 549-562

    • Description
      「研究成果報告書概要(和文)」より
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      K.Horie, H.Ishii
    • Journal Title

      Funkcial. Ekvac. 46

      Pages: 63-88

    • NAID

      130000140990

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] Strong solutions of magneto-micropolar fluid equation. Dynamical systems and differential equations (Wilmington, NC, 2002)2003

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      Discrete Contin. Dyn. Syst. suppl.

      Pages: 439-448

    • Description
      「研究成果報告書概要(和文)」より
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      Proc. Roy. Soc. Edinburgh Sect. A 133

      Pages: 599-615

    • Description
      「研究成果報告書概要(和文)」より
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      Arch. Ration. Mech. Anal. 169

      Pages: 265-304

    • Description
      「研究成果報告書概要(和文)」より
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      Pages: 409-438

    • Description
      「研究成果報告書概要(和文)」より
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      Pages: 661-670

    • Description
      「研究成果報告書概要(和文)」より
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      J. Differential Equations 189

      Pages: 383-395

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      「研究成果報告書概要(和文)」より
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      Pages: 1-20

    • Description
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      Pages: 1779-1800

    • Description
      「研究成果報告書概要(和文)」より
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      京都大学数理研究所講究録 1323

      Pages: 174-183

    • Description
      「研究成果報告書概要(和文)」より
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    • Journal Title

      Math. Comp. 72

      Pages: 159-181

    • Description
      「研究成果報告書概要(和文)」より
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      Pages: 1-10

    • Description
      「研究成果報告書概要(欧文)」より
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    • Description
      「研究成果報告書概要(欧文)」より
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    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropic curvature flow in a very thin domain.2003

    • Author(s)
      M.Arisawa, Y.Giga
    • Journal Title

      Indiana Univ.Math.J. 52, no.2

      Pages: 257-281

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations.2003

    • Author(s)
      M.Bardi, Y.Giga
    • Journal Title

      Commun.Pure Appl.Anal. 2, no.4

      Pages: 447-459

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Minimal vertical singular diffusion preventing overturning for the Burgers equation. Recent advances in scientific computing and partial differential equations (Hong Kong, 2002)2003

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

      Contemp.Math., Amer.Math.Soc., Providence, RI 330

      Pages: 73-88

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Shocks and very strong vertical diffusion. Lectures on partial differential equations,2003

    • Author(s)
      Y.Giga
    • Journal Title

      New Stud.Adv.Math.,(Int.Press, Somerville, MA,) 2

      Pages: 95-102

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Anisotropic curvature effects in interface dynamics.2003

    • Author(s)
      Y.Giga
    • Journal Title

      Sugaku Expositions 16, no.2

      Pages: 135-152

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On constrained equations with singular diffusivity.2003

    • Author(s)
      Y.Giga, R.Kobayashi
    • Journal Title

      Methods Appl.Anal. 10, no.2

      Pages: 253-277

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Berg's effect.2003

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

      Adv.Math.Sci.Appl. 13, no.2

      Pages: 625-637

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Nonlinear analysis and applications : to V.Lakshmikantham on his 80th birthday.2003

    • Author(s)
      Y.Giga, O.Sawada
    • Journal Title

      Kluwer Acad.Publ., Dordrecht Vol.1, 2

      Pages: 549-562

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations.2003

    • Author(s)
      K.Horie, H.Ishii
    • Journal Title

      Funkcial.Ekvac. 46, no.1

      Pages: 63-88

    • NAID

      130000140990

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Strong solutions of magneto-micropolar fluid equation. Dynamical systems and differential equations (Wilmington, NC, 2002).2003

    • Author(s)
      H.Inoue, K.Matsuura, M.Otani
    • Journal Title

      Discrete Contin.Dyn.Syst. suppl.

      Pages: 439-448

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Relaxation in an L^∞-optimization problem.2003

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      Proc.Roy.Soc.Edinburgh Sect. A133, no.3

      Pages: 599-615

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Relaxation of Hamilton-Jacobi equations.2003

    • Author(s)
      H.Ishii, P.Loreti
    • Journal Title

      Arch.Ration.Mech.Anal. 169, no.4

      Pages: 265-304

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Asymptotic analysis for a class of infinite systems of first-order PDE : nonlinear parabolic PDE in the singular limit.2003

    • Author(s)
      H.Ishii, K.Shimano
    • Journal Title

      Comm.Partial Differential Equations 28, no.1-2

      Pages: 409-438

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On local center unstable manifolds. Nonlinear analysis and applications : to V.Lakshmikantham on his 80th birthday.2003

    • Author(s)
      K.Kobayasi, S.Takagi
    • Journal Title

      Kluwer Acad.Publy., Dordrecht, Vol.1, 2

      Pages: 661-670

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The equivalence of weak solutions and entropy solutions of nonlinear degenerate second-order equations.2003

    • Author(s)
      K.Kobayasi
    • Journal Title

      J.Differential Equations 189, no.2

      Pages: 383-395

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Variational inequalities for leavable bounded-velocity control.2003

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Appl.Math.Optim. 48, no.1

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal strategies for risk-sensitive portfolio optimization problems for general factor models.2003

    • Author(s)
      H.Nagai
    • Journal Title

      SIAM J.Control Optim. 41, no.6

      Pages: 1779-1800

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Neumann problem for singular degenerate parabolic equations on nonsmooth domains.2003

    • Author(s)
      M.-H.Sato
    • Journal Title

      京都大学数理解析研究所講究録 No. 1323

      Pages: 174-183

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations.2003

    • Author(s)
      Y.-H.R.Tsai, Y.Giga, S.Osher
    • Journal Title

      Math.Comp. 72, no.241

      Pages: 159-181

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Surface Evolution Equations - a level set approach2006

    • Author(s)
      儀我 美一
    • Total Pages
      264
    • Publisher
      Birkhauser
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 微分方程式の粘性解理論とその発展2006

    • Author(s)
      小池 茂昭
    • Total Pages
      140
    • Publisher
      京都大学数理解析研究所(講究録)
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 現象の数理モデルと発展方程式2006

    • Author(s)
      山田 直記(編集)
    • Total Pages
      166
    • Publisher
      京都大学数理解析研究所(講究録)
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Surface Evolution Equation-a level set approach2006

    • Author(s)
      Y.Giga
    • Total Pages
      260
    • Publisher
      Birkhauser Verlag
    • Related Report
      2005 Annual Research Report
  • [Book] 微分方程式の粘性解理論とその発展2005

    • Author(s)
      小池 茂昭(編集)
    • Total Pages
      149
    • Publisher
      京都大学数理解析研究所(講究録)
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      小池 茂昭
    • Total Pages
      123
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Nonlinear partial differential equations and their applications2004

    • Author(s)
      剣持 信幸, 大谷 光春, S. Zheng(編集)
    • Total Pages
      535
    • Publisher
      学校図書
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Twelfth Tokyo conference on nonlinear PDE, 20042004

    • Author(s)
      小池 茂昭, 石井 仁司(編集)
    • Total Pages
      139
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] H.Ishii: "Relaxation of Hamilton-Jacobi equations"Arch.Ration.Mech.Anal.. 169巻4号. 265-304 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Ishii: "Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations"Funkcial.Ekvac. 46巻1号. 63-88 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Ishii: "Relaxation in an L^∞-optimization problem"Proc.Roy.Soc.Edinburgh Sect.A. 133巻3号. 599-615 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Ishii: "Asymptotic analysis for a class of infinite systems of parabolic PDE in the singular limit"Comm.Partial Differential Equations. 28巻1-2号. 409-438 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Giga: "Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations"Commun.Pure Appl.Anal.. 2巻4号. 447-459 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Giga: "Anisotropic curvature flow in a very thin domain"Indiana Univ.Math.J.. 52巻2号. 257-281 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Nagai: "Optimal strategies for risk-sensitive portfolio optimization problems for general factor models"SIAM J.Control Optim.. 41巻6号. 1779-1800 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Koike: "Variational inequalities for leavable bounded-velocity control"Appl.Math.Optim.. 48巻1号. 1-20 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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