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Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations

Research Project

Project/Area Number 18540191
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KURATA Kazuhiro  Tokyo Metropolitan University, 大学院・理工学研究科, 教授 (10186489)

Co-Investigator(Kenkyū-buntansha) 岡田 正己  首都大学東京, 大学院・理工学研究科, 教授 (00152314)
村田 實  東京工業大学, 大学院・理工学研究科, 教授 (50087079)
田中 和永  早稲田大学, 大学院・理工学研究院, 教授 (20188288)
柴田 徹太郎  広島大学, 大学院・工学研究科, 教授 (90216010)
吉冨 和志  首都大学東京, 大学院・理工学研究科, 准教授 (40304729)
神保 秀一  北海道大学, 大学院理学研究院, 教授 (80201565)
Co-Investigator(Renkei-kenkyūsha) SAKAI Makoto  首都大学東京, 大学院・理工学研究科, 名誉教授 (70016129)
OKADA Masami  首都大学東京, 大学院・理工学研究科, 教授 (00152314)
TAKAKUWA Shoichiro  首都大学東京, 大学院・理工学研究科, 教授 (10183435)
MURATA Minoru  東京工業大学, 大学院・理工学研究科, 教授 (50087079)
JIMBO Shuichi  北海道大学, 大学院・理学研究院, 教授 (80201565)
TANAKA Kazunaga  早稲田大学, 大学院・理工学術院, 教授 (20188288)
SHIBATA Tetsutaro  広島大学, 大学院・工学研究科, 教授 (90216010)
YOSHITOMI Kazushi  首都大学東京, 大学院・理工学研究科, 准教授 (40304729)
HIRATA Masaki  首都大学東京, 大学院・理工学研究科, 助教 (70254141)
Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,800,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥600,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywords非線形現象 / 数理生態学 / パターン形成 / 非線形光学 / 変分問題 / 最適化問題 / 非線形楕円型偏微分方程式 / 反応拡散系 / ソボレフ空間 / コンパクト埋め込み定理 / 非線形楕円型境界値問題 / ギーラー・マインハルト系 / コンパクト埋め込み / 特異摂動問題 / 非線形シュレディンガー方程式 / 放物型偏微分方程式 / 内在的超縮小性 / 固有値 / スペクトラルギャップ / 熱核 / ギンツブルグ・ランダウ方程式 / 非線形楕円型方程式
Research Abstract

非線形現象の数理(特に, パターン形成における環境効果の果たす役割, 対称性の崩れ現象など)を非線形偏微分方程式の解析を通して理解・解明したいという動機のもと, 数理生態学に現れるアレン・カーン方程式, ギーラー・マインハルト系などの反応拡散方程式系の定常解, 非線形光学現象に現れる非線形シュレディンガー方程式など種々の非線型楕円型変分問題の解の構造の研究や関連して無限次元の最適化問題を中心テーマとして研究を行った.

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (93 results)

All 2009 2008 2007 2006 Other

All Journal Article (55 results) (of which Peer Reviewed: 38 results) Presentation (34 results) Book (4 results)

  • [Journal Article] Small modifications of quadrature domains2009

    • Author(s)
      Makoto Sakai
    • Journal Title

      to appear in Memoirs of the American Mathematical Society

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non-separable splines and numerical computation of evolution equations by the Galerkin methods2009

    • Author(s)
      Toshihide Ueno, Masami Okada
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.223・No.1

      Pages: 159-176

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] to appear in J. Austral. Math. Soc.2009

    • Author(s)
      Kazushi Yoshitomi : Inverse spectral problems for singular rank-one perturbations of a Hill operator
    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation2008

    • Author(s)
      Kazuhiro Kurata, Kotaro Morimoto
    • Journal Title

      Comm. Pure Appl. Anal Vol.7

      Pages: 1443-1482

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Spatial Harvesting Strategy and Symmetry Breaking2008

    • Author(s)
      Kazuhiro Kurata, Junping Shi
    • Journal Title

      Applied Math. Optim. Vol.58

      Pages: 89-110

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Compactness embedding from W^{1, 2}_0(\Omega) to L^{p(x)}(\Omega) and its application to nonlinear elliptic boundary value problem with variable critical exponent2008

    • Author(s)
      Kazuhiro Kurata, Naoki Shioji
    • Journal Title

      J. Math. Anal. Appl. Vol.339 no.2

      Pages: 1386-1394

    • Related Report
      2008 Final Research Report
  • [Journal Article] Ginzburg-Landau equations and solutions Structure, Sugaku Expositions2008

    • Author(s)
      Shuichi Jimbo and Yoshihisa Morita
    • Journal Title

      Vol.21

      Pages: 117-131

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Highly oscillatory behavior of the activator in the Gierer and Meinhardt system2008

    • Author(s)
      P. Felmer and S. Mart\'{\i}nez, Kazunaga Tanaka
    • Journal Title

      Math. Ann Vol.340 no.4

      Pages: 749-773

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Standing waves for nonlinear Schr\"odinger equations with a general nonlinearity : one and two dimensional cases, Comm2008

    • Author(s)
      J. Byeon and L. Jeanjean, Kazunaga Tanaka
    • Journal Title

      Partial Diff. Eq Vol.33

      Pages: 1113-1136

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of bifurcation branch of positive solutions for semilinear Sturm-Liouville problems2008

    • Author(s)
      T. Shibata
    • Journal Title

      Annales Henri Poincare Vol.9

      Pages: 1217-1227

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Comm. Pure Appl. Anal. 7

      Pages: 1443-1482

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Spatial Harvesting Strategy and Symmetry Breaking2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Applied Math. Optim. 58

      Pages: 89-110

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Compactness embedding from W^{1, 2}_O(\0mega)to L^{p(x)}(\Omega)and its application to nonlinear elliptic boundary value problem with variable critical exponent2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      J. Math. Anal. Appl. 339

      Pages: 1386-1394

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Naoki Shioji)Compactness embedding from W^{1,2}_0(\Omega)to L^{p(x)}(\Omega)and its application to nonlinear elliptic boundary value problem with variable critical exponent.2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      J. Math. Anal. Appl. 339

      Pages: 1386-1394

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Junping Shi)Optimal Spatial Harvesting Strategy and Symmetry Breaking.2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Applied Math. Optim. (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Kotaro Morimoto)Construction and asymptotic behavior of the multi-peak solutions to the Gierer-Meinhardt system with saturation2008

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Comm. Pure Appl. Anal. (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with P. Felmer and S. Mart\'{\i}nez)Highly oscillatory behavior of the activator in the Gierer and Meinhardt system.2008

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      Math. Ann. (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Y. Sato)Sign-changing multi-bump solutions for nonlinear Schr\"odinger equations with steep potential wells.2008

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      Trans. Amer. Math. Soc. (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Small modifications of quadrature domains.2008

    • Author(s)
      Makoto Sakai
    • Journal Title

      Memoirs of the American Mathematical Society (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. Vol.245

      Pages: 177-212

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems2007

    • Author(s)
      T. Shibata
    • Journal Title

      Annali di Matematica Pura ed Applicata Vol.186

      Pages: 525-537

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral gaps of the Schr{\"o}dinger operators with periodic $\delta^\prime$-interactions and Diophantine approximations, Math. Proc.2007

    • Author(s)
      Kazushi Yoshitomi
    • Journal Title

      Cambrifge Philos. Soc Vol.143

      Pages: 185-199

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] (with V. Ancona, B. Gaveau)Harmonic forms and cohomology of singular stratified spaces.2007

    • Author(s)
      Masami Okada
    • Journal Title

      Bulletin des Sciences Mathematiques 131

      Pages: 422-456

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Toshihide Ueno, Simon Truscott)New spline basis functions for sampling approximations.2007

    • Author(s)
      Masami Okada
    • Journal Title

      Numerical Algorithms 45

      Pages: 283-295

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries.2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. 245

      Pages: 177-212

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to the perturbed simple pendulum problems with two parameters.2007

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Mathematische Nachrichten 280

      Pages: 451-462

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems.2007

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Annali di Matematica Pura ed Applicata 186

      Pages: 525-537

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic shape of solutions to the perturbed simple pendulum problems.2007

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Electronic Journal of Differential Equations 2007(no.64)

      Pages: 1-11

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of $L^q$-norm of solutions to elliptic eigenvalue problems arising in population dynamics.2007

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Proceedings of the Royal Society of Edinburgh 137A

      Pages: 1081-1090

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New Asymptotic Formula for Eigenvalues of Nonlinear Sturm-Liouville Problems.2007

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Journal d'Analyse Mathematique 102

      Pages: 347-358

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectral gaps of the Schr{\"o}dinger operators with periodic \delta^{\prime}-interactions and Diophantine approximations.2007

    • Author(s)
      Kazushi Yoshitomi
    • Journal Title

      Math. Proc. Cambridge Philos. Soc. 143

      Pages: 185-199

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] (with Tetsuo Tsuchida)Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Math.Kyoto Univ. (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with Y. Morita)Ginzburg-Landau equations and solution structures, to appear in, AMS, 2007.2007

    • Author(s)
      Shuichi Jimbo
    • Journal Title

      Sugaku Translation(Amer.Math.Soc.) (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spectral gaps of the Schroedinger operators with periodic δ' -interactions and Diophantine approximations2007

    • Author(s)
      Kazuki Yoshitomi
    • Journal Title

      Math. Proc. Camb. Philos. Soc. (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A remark on asymptotic profiles of radial solutions with a vortex to a nonlinear Schroedinger equation, Comm. Pure Appl. Anal.2006

    • Author(s)
      Kazuhiro Kurata, Tatsuya Watanabe
    • Journal Title

      Vol.5, No.3 597-610

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multiple stable patterns for some reaction-diffusion equation in disrupted environments2006

    • Author(s)
      Kazuhiro Kurata, Takanori Ide, Kazunaga Tanaka
    • Journal Title

      Discrete and Continuous Dynamical Systems vol.14, No.1

      Pages: 93-116

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method J.2006

    • Author(s)
      Takanori Ide, Masami Okada
    • Journal Title

      Comput, Appl. Math. Vol.194・No.3

      Pages: 425-459

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Representations of nonnegative solutions for parabolic equations, Advanced Studies in Pure Mathematics2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Vol.44

      Pages: 283-289

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] High frequency solutions for singularly perturbed 1D nonlinear schr\"odinger equation2006

    • Author(s)
      P. Felmer and S. Mart\'{\i}nez, Kazunaga Tanaka
    • Journal Title

      Arch. Rat. Mech. Anal Vol.182 no.2

      Pages: 333-366

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Layer structures for the solutions to the perturbed simple pendulum problems, Journal of Mathematical Analysis and Applications2006

    • Author(s)
      T. Shibata
    • Journal Title

      Vol.315

      Pages: 725-739

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] (with Tatsuya Watanabe)A remark on asymptotic profiles of radial solutions with avortex to a nonl inear Schroedinger equation2006

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Comln. Pure Appl Anal. 5

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with Takanori Ide,Kazunaga Tanaka),Multiple stable patterns for some reaction-diffusion equation in disrupted environments2006

    • Author(s)
      Kazuhiro Kurata
    • Journal Title

      Discrete and Continuous Dynamical Systems 14

      Pages: 93-116

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with Takanori Ide)Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method.2006

    • Author(s)
      Masami Okada
    • Journal Title

      J.Comput. Appl. Math. 194

      Pages: 425-459

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Representationsofnonnegativesolutionsforparabolicequations2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with C. Carminati and E. Sere)The fixed enerhy problem for a class of nonconvex singular Hamiltonian systems2006

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      J. Diff. Equations 230

      Pages: 362-377

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with P. Felmer and S. Martinez)On the number of positive solutions of singularly perturved ID Nonlinear Schroedinger equations2006

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      J. Euro Math. Soc. 8

      Pages: 253-268

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with P. Felmer and S. Martinez)High frequency solutions for singularly perturbed ID nonlinear Schroedinger equations2006

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      Arch. rat. Mech. Anal. 182

      Pages: 333-366

    • Related Report
      2006 Annual Research Report
  • [Journal Article] (with P. Felmer and S. Martinez)High frequency chaotic solutions for a slowly varying dynamical system2006

    • Author(s)
      Kazunaga Tanaka
    • Journal Title

      Ergotic Theory and Dynamical Systems 26

      Pages: 379-407

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spectral gaps of the one-dimensional Schroedinger operators with periodic point interactions.2006

    • Author(s)
      Kazuki Yoshitomi
    • Journal Title

      Hokkaido Math. J. 35

      Pages: 365-378

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Three-term asymptotics for the boundary layers of semilinear elliptic eigenvalue problems,2006

    • Author(s)
      Tetsutaro Shibata
    • Journal Title

      Nonlinear Differential Equationsand Applications 13

      Pages: 23-41

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Boundary layer and variational eigencurve in two-parametersingle pendulum type equations2006

    • Author(s)
      Tetsutaro Shibata
    • Journal Title

      Communications on Pure and ApPlied Analysis 5

      Pages: 147-154

    • Related Report
      2006 Annual Research Report
  • [Journal Article] $L^q$ spectral asymptotics for nonlinear Sturm-Liouville problems2006

    • Author(s)
      Tetsutaro Shibata
    • Journal Title

      Differential and Integral Equations 19

      Pages: 773-783

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The asymptotic distribution of the return time of some non-uniformly hyperbolic systems2006

    • Author(s)
      Masaki Hirata
    • Journal Title

      Proc. of the symposium"Infinite Ergodic Theory and Related Topics"

      Pages: 36-45

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Return time distribution and Strength of Caos

    • Author(s)
      Masaki HIRATA
    • Journal Title

      to appear in proc. of international workshop "Chaos and Complexity"

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Inverse spectral problems for nonlinear Sturm-Liouville problems.

    • Author(s)
      Testutaro Shibata
    • Journal Title

      Electronic Journal of Differential Equations 2007(no.74)

      Pages: 1-10

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「Potential Theory and Related Fields」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2009-02-17
    • Related Report
      2008 Final Research Report
  • [Presentation] Inverse spectral problems for singular rank one perturbations of a Hill operator, Third school and workshop on mathematical mathods in quantum mechanics2009

    • Author(s)
      K. Yoshitomi, Kazunaga Tanaka, Nonlinear Scalar
    • Organizer
      Jugendheim Univ. Padua, Bressanone, Italy
    • Year and Date
      2009-02-04
    • Related Report
      2008 Final Research Report
  • [Presentation] Vortex motion in Ginzburg-Landau equation, Analytic semigroups and related topics-on the occasion of the centenary of the birth of Professor2009

    • Author(s)
      Shuichi Jimbo
    • Organizer
      K\^osaku Yosida
    • Place of Presentation
      東京大学
    • Related Report
      2008 Final Research Report
  • [Presentation] 非線型偏微分方程式と変分問題2009

    • Author(s)
      Equations in $\R^2$-A Mountain Pass Approach-
    • Place of Presentation
      首都大学東京
    • Related Report
      2008 Final Research Report
  • [Presentation] Boundary blow-up solutions to a reaction-diffusion equation with Allee effect and its application2008

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      ワークショップ「非線形偏微分方程式における定常問題」
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-12-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 反応拡散方程式の定常解の構成について2008

    • Author(s)
      倉田 和浩
    • Organizer
      九州大学研究集会「冬の学校」
    • Place of Presentation
      九州大学
    • Year and Date
      2008-11-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] Spectral analysis of elliptic operators on a singularly perturbed domains2008

    • Author(s)
      Shuichi Jimbo
    • Organizer
      PDE seminar
    • Place of Presentation
      Zhejiang University
    • Year and Date
      2008-11-07
    • Related Report
      2008 Final Research Report
  • [Presentation] Inverse spectral problems of nonlinear Sturm-Liouville problems, Fifth World Congress of Nonlinear Analysis, Hyatt Grand Cypress Resort2008

    • Author(s)
      Tetsutaro Shibata
    • Place of Presentation
      Orlando, Florida
    • Year and Date
      2008-07-04
    • Related Report
      2008 Final Research Report
  • [Presentation] 接合境界面での2次精度差分公式の導出2008

    • Author(s)
      岡田正已
    • Organizer
      数値解析シンポジウム(NAS2008)
    • Place of Presentation
      秋田県たざわこ芸術村
    • Year and Date
      2008-06-13
    • Related Report
      2008 Final Research Report
  • [Presentation] Construction and asymptotic behavior of multi-peak stationary solutions to the Gierer-Meinhardt system with weak saturation on axially symmetrie domains2008

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      Ryukoku Workshop 2008
    • Place of Presentation
      龍谷大学
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Multiple stable patterns in a balanced bistable equation with heterogeneous environments2008

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      7th AIMS International Conference on Dynamical Systems and Differential Equations and Applications
    • Place of Presentation
      University of Texas at Arlington
    • Year and Date
      2008-05-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Multiple stable patterns in a balanced bistable equation with heterogeneous environments2008

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      7th AIMS International Conference on Dynamical Systems and Differential Equations and Applications, University of Texas at Arlington
    • Year and Date
      2008-05-19
    • Related Report
      2008 Final Research Report
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2008

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「マルコフ過程とデリクレ形式に関する話題」
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-02-17
    • Related Report
      2008 Final Research Report
  • [Presentation] Construction and asymptotic behavior of the multi-peak stationary solutions to the Gierer-Meinhardt system with weak saturation2008

    • Author(s)
      倉田和浩
    • Organizer
      九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2008-01-30
    • Related Report
      2008 Final Research Report
  • [Presentation] Construction and asymptotic behavior of the multi-peak stationary solutions to the Gierer-Meinhardt system with weak saturation.2008

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2008-01-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] 非有界領域上の極小曲面の方程式に関するMeeksの予想2008

    • Author(s)
      高桑昇一郎
    • Organizer
      研究集会「多様体上の微分方程式」
    • Place of Presentation
      いしかわシティカレッジ(金沢市)
    • Related Report
      2008 Final Research Report
  • [Presentation] A result of local mountain pass type for a system of nonlinear Schr\"odinger equations2008

    • Author(s)
      Kazunaga Tanaka
    • Organizer
      Variational Methods for Elliptic PDE's and Hamiltonian Systems
    • Place of Presentation
      Pohang, Korea
    • Related Report
      2008 Final Research Report
  • [Presentation] Inverse spectral problems for singular rank one perturbations of a Hill operator2008

    • Author(s)
      K. Yoshitomi
    • Organizer
      International conference on applied mathematics and approximation theory, University of Memphis
    • Place of Presentation
      Memphis, Tennessee, U.S.A.
    • Related Report
      2008 Final Research Report
  • [Presentation] p-調和写像の空間のコンパクト性2007

    • Author(s)
      Shoichiro Takakuwa
    • Organizer
      研究集会「多様体上の微分方程式」
    • Place of Presentation
      金沢大学
    • Year and Date
      2007-12-11
    • Related Report
      2007 Annual Research Report
  • [Presentation] 摂動論と放物型方程式の非負値解2007

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「微分方程式と数理物理」
    • Place of Presentation
      ウエルハートピア萩
    • Year and Date
      2007-11-05
    • Related Report
      2008 Final Research Report
  • [Presentation] Construction and asymptotic behavior of the multi-peak solutions to the Gierer-Meinhardt system with saturation2007

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      国際研究集会「First Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDE」
    • Place of Presentation
      Santiago, Chile
    • Year and Date
      2007-10-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Construction and asymptotic behavior of the multi-peak solutions to the Gierer-Meinhardt system with saturation.2007

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      国際研究集会「First Chile-Japan Workshop on Nonlinear Elliptic and Parabolic PDE」
    • Place of Presentation
      チリ大学(チリ)
    • Year and Date
      2007-10-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Construction of quadrature domains with infinite volume2007

    • Author(s)
      Makoto Sakai
    • Organizer
      Quadrature domains and Laplacian growth in modern physics
    • Place of Presentation
      Banff Centre, CANADA
    • Year and Date
      2007-07-17
    • Related Report
      2008 Final Research Report
  • [Presentation] Mutiple stable patterns in a balanced bistable equation with heterogeneous environments.2007

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      研究集会「変分問題とその周辺」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2007-06-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] $L2$-inverse spectral problems for nonlinear Sturm-Liouville problems, 2007 intensive lecture program and international conference on P. D. E., Dynamic Math Center2007

    • Author(s)
      Tetsutaro Shibata
    • Organizer
      Pusan National University
    • Place of Presentation
      Pusan, Korea
    • Year and Date
      2007-02-22
    • Related Report
      2008 Final Research Report
  • [Presentation] Spectra of domains with partial degeneration2007

    • Author(s)
      Shuichi Jimbo
    • Organizer
      九州における偏微分方程式研究集会
    • Place of Presentation
      九大
    • Related Report
      2008 Final Research Report
  • [Presentation] A positive solution of a scalar field equation : $-\Delta u=g(x, u)$ in $\R^N$. Chile-Japan PDE symposium2007

    • Author(s)
      Kazunaga Tanaka
    • Organizer
      University of Chile
    • Place of Presentation
      Santiago, Chile
    • Related Report
      2008 Final Research Report
  • [Presentation] Dirac operators with periodic $\delta$-interactions-spectral gaps and inhomogeneous Diophantine approximation2007

    • Author(s)
      K. Yoshitomi
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学川内キャンパス
    • Related Report
      2008 Final Research Report
  • [Presentation] The Cauchy transform of a positive measure on an interval2006

    • Author(s)
      酒井良
    • Organizer
      「等角写像論・値分布論」合同研究集会
    • Place of Presentation
      広島大学学士会館
    • Year and Date
      2006-12-03
    • Related Report
      2008 Final Research Report
  • [Presentation] Multiple stable solutions to a reaction-diffusion equation in heterogeneous environments2006

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      研究集会「微分方程式についての最近の話題」
    • Place of Presentation
      群馬大学東京オフィス
    • Year and Date
      2006-10-20
    • Related Report
      2008 Final Research Report
  • [Presentation] On a generalized Shannon approximation-a sharp error estimate and its numerical applications (short communication)2006

    • Author(s)
      Okada Masami
    • Organizer
      INTERNATIONAL CONGRESS OF MATHEMATICIANS at MADRID
    • Place of Presentation
      スペイン・マドリード
    • Year and Date
      2006-08-26
    • Related Report
      2008 Final Research Report
  • [Presentation] Global behavior of the branch of positive solutions nonlinear Sturm-Liouville problems, AIMS' Sixth International Conference on Dynamical Systems2006

    • Author(s)
      Tetsutaro Shibata
    • Organizer
      Differential Equations and Applications, University of Poitiers
    • Place of Presentation
      Poitiers, France
    • Year and Date
      2006-06-25
    • Related Report
      2008 Final Research Report
  • [Presentation] Ginzburg-Landau equations in thin domains2006

    • Author(s)
      Shuichi Jimbo
    • Organizer
      散逸系におけるパターン形成問題
    • Place of Presentation
      RIMS研究集会
    • Related Report
      2008 Final Research Report
  • [Presentation] Prescribed energy problem for a singular Hamiltonian system2006

    • Author(s)
      Kazunaga Tanaka
    • Organizer
      Current trends in nonlinear analysis
    • Place of Presentation
      Otranto, Italy
    • Related Report
      2008 Final Research Report
  • [Book] ギンツブルク-ランダウ方程式と安定性解析2009

    • Author(s)
      神保秀一, 森田善久
    • Total Pages
      335
    • Publisher
      岩波書店
    • Related Report
      2008 Final Research Report
  • [Book] 変分問題入門-非線形楕円型方程式とハミルトン系2008

    • Author(s)
      田中和永
    • Total Pages
      271
    • Publisher
      岩波書店
    • Related Report
      2008 Final Research Report
  • [Book] 楕円型・放物型偏微分方程式2006

    • Author(s)
      村田實, 倉田和浩
    • Total Pages
      258
    • Publisher
      岩波書店
    • Related Report
      2008 Final Research Report
  • [Book] Eiichi Nakai and Masami Okada, Harmonic analysis and its applications2006

    • Author(s)
      Akihiko Miyachi
    • Total Pages
      122
    • Publisher
      Yokohama Publishers, Yokohama
    • Related Report
      2008 Final Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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