Master of Science, Keio University, Mar. 1987

Ph.D. in Science, Keio University, Mar. 1992

Discrete Morse Flow method

Blow up technique

De Giorgi class, regularity theory, H\"older estimate

Gamma-convergence

Minimizing movement method

discrete Morse flow method

Energy functional with the singularity

minimizing movement

gradient flow

Natural sciences, Mathematical analysis, Global Analysis

1993
Keio University, 数学

1987
Keio University, Faculty of Science and Engineering, 数理科学

Expansion of positivity for the doubly nonlinear parabolic fractional type equations
Masashi Misawa; Yoshihiko Yamaura
Mathematische Annalen, Oct. 2025

Existence for doubly nonlinear fractional p-Laplacian equations
Kato, N; Misawa, M; Nakamura, K; Yamaura, Y
Annali di Matematica Pura ed Applicata, Jun. 2024, Refereed
Last

A volume constraint problem for the nonlocal doubly nonlinear parabolic equation
Mathematics in Engineering, Aug. 2023, Refereed
Last

Holder continuity of discrete Morse flows to the Alt-Caffarelli variational problem generating free boundaries
Nonlinear Analysis, Sep. 2011, Refereed, Not invited
Lead

Uniform Lipschitz continuity of solutions to discrete Morse flows
International Journal of Pure and Applied Mathematics, Feb. 2011, Refereed, Not invited
Lead

A convergence of the approximated free boundary of regularized functionals via Gamma-convergence
Yoshihiko Yamaura
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Sep. 2008, Refereed, Not invited

A variational approximation inheriting a non-degeneracy property
International Journal of Pure and Applied Mathematics, 2007, Not refereed, Not invited
Lead

A Gradient flow of the one-dimensional Alt-Caffarelli functional
Yoshihiko Yamaura
Mediterranean Journal of Mathematics,, 2007, Refereed, Not invited
Lead

A construcution of a Lipschitz continuous minimizer of a free boundary problem
Y Yamaura
Nonlinear Analysis, 2003, Not refereed, Not invited

汎関数の近似理論の適用によるリプシッツ連続な最小化関数の構成
山浦 義彦
京都大学数理解析研究所講究録1254, 2002, Not refereed, Not invited

A uniform gradient bound of minimizers of regularized functionals
Int. J. Differ. Equ. Appl., 2000, Not refereed, Not invited

A regular approximation of the functional with the characteristic function term
Yamaura Yoshihiko
Proceedings of the institute of natural science, Nihon University, 1999, Not refereed, Not invited

A free boundary problem for guasilinear elliptic equations Part(]G0002[) : C-regularing of free boundary
OMATA S.
Funkcialaj Ekvocioj, 1999, Not refereed, Not invited

Apriori estimate on the free boundary problem and its application
Yamaura Yoshihiko
Yokohama Mathematical Journal, 1999, Not refereed, Not invited

An Approximations of the Functional of a Free Boundary Problem
Proceedings of 9th. Int. Coll. on Differential Equations Plovdiv, Bulgaria VSP, 1999, Not refereed, Not invited

A regular approximation of the functional with the characteristic functionterm
The Inst. of Natural Sciences Nihon Univ. Proc. of the Inst. of Natural Sciences, 1999, Not refereed, Not invited

A Approximation of the Functional of a Free-Boundary Problem
Proceedings of the Int. Coll. on Differential Equations Plovdiv BulgariaVSP, 1999, Not refereed, Not invited

Minimizing movement of free discontinuity set
Yamaura Yoshihiko
Proceedings of the institute of natural sciences Nihon University No.31(1996), 1996, Not refereed, Not invited

A free boundary problem for minimal surface equation
Y YAMAURA
Bollettino della Unione Matematica Italiana, 1994, Not refereed, Not invited

A uniform estimate of the perimeter for minimizers of a free boundary problem
Rendiconti di Matematica, Serie VII, 1993, Not refereed, Not invited

Another interpretation for the Weissler's critical exponent in the theory of semilinear parbolic PDE
Yoshifumi Mimura; Yoshihiko Yamaura
International Journal of Differential Equations and Applications, 10 Dec. 2020, Refereed, Not invited

The discrete Morse flow method for parabolic p-Laplacian systems
Nobuyuki Kato; Masashi Misawa; Yoshihiko Yamaura
Annali di Matematica Pura ed Applicata, 20 Nov. 2020, Refereed, Not invited

A construction of a uniform continuous minimizing movement associated with a singular functional
Yoshihiko Yamaura
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, Refereed, Not invited

Uniform Holder continuity of approximate solutions to parabolic systems and its application
Nobuyuki Kato; Yoshihiko Yamaura
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, Refereed, Not invited

A Construction Method of Solutions of Parabolic Systems With Local Holder Continuity
Nobuyuki Kato; Motoaki Watanabe; Yoshihiko Yamaura
日本大学文理学部自然科学研究所「研究紀要」, 2014, Refereed, Not invited
Lead

Construction of a more highly integrable weak solution to hyperbolic systems with coefficients satisfying the Legendre-Hadamard condition
International workshop Regularity and Singularity for Geometric PDE and related topics, Jan. 2024

Legendre-Hadamard 係数双曲型方程式に対する高可積分弱解の構成について
第18回浜松偏微分方程式研究集会, Dec. 2023, Invited

On a convergence for the approximation of the gradient flow curve to the non-convex and singular functional
Yoshihiko Yamaura
2019 International Conference on Machine Learning and Intelligent Systems (MLIS2019), Nov. 2019, Not invited

A convergence of the approximated free boundary of regularized functionals via Gamma-convergence
Yoshihiko Yamaura
The 2nd International Conference on Numerical Modelling in Engineering, Aug. 2019, Invited

Local existence for gradient flows via a minimizing scheme
Yoshihiko Yamaura
Free Boundary Problems and Nonlinear PDEs -- A symposium dedicated to prof. Seiro Omata on the occasion of his 60th birthday --, Sep. 2017, Not invited

On a curves of maximal slope
山浦義彦
浜松偏微分方程式研究集会, Dec. 2016, Not invited

「自由境界問題とそのエネルギー勾配流について」
山浦義彦
金沢大学解析セミナー, Apr. 2014, Not invited

A scheme of construction of minimizing movement associated to the singular functional
Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar) at Weierstraß-Institut für Angewandte Analysis und Stochastik(WIAS), Jun. 2010, Not invited

Variational approximation and the construction of gradient flows
研究集会「確率論と PDE」 於広島大学, Jan. 2009, Not invited

変分収束近似による gradient flow の構成について
研究集会「曲線と曲面の非線型解析」 於埼玉大学, Dec. 2008, Not invited

Variational approximation and a construction of gradient flows
偏微分方程式研究集会, 於熊本大学, Oct. 2008, Not invited

日本数学会

時間発展型積分微分方程式の変分解析
日本学術振興会, 科学研究費助成事業, 01 Apr. 2022 - 31 Mar. 2027
山浦 義彦

関数空間上の汎関数に対するエネルギー最大勾配曲線の統合的研究
日本学術振興会, 科学研究費助成事業, 01 Apr. 2018 - 31 Mar. 2023
山浦 義彦; 三村 与士文; SVADLENKA KAREL

Monotonicity estimates and local regularity and singularity for the p-harmonic flows
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2015 - 31 Mar. 2018
Masashi Misawa; YAMAURA Yoshihiko

Regularity for the evolutionary p-Laplace operator and global existence of the p-harmonic map flows
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2012 - 31 Mar. 2015
MISAWA MASASHI; YAMAURA Yoshihiko

Geometric measure theory and hyperbolic operators ant its numerical calculations
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2012 - 31 Mar. 2014
OMATA Seiro; YAMAURA Yoshihiko

A regularity criterion for the harmonic map flows and asymptotic analysis for singularity
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2009 - 2011
MISAWA Masashi; TONEGAWA Yoshihiro; YAMAURA Yoshihiko

New topics for partial differential equations whose solution has singular sets
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2006 - 2009
OMATA Seiro; MIYAKAWA Tetsuro; JINBO Shuichi; KIKUCHI Koji; WEISS Georg; YAMAURA Yoshihiko; KOBAYASHI Kenta; NAGAYAMA Masaharu

Analysis of Fracture Propagation in the problem of image segmentation
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2005 - 2008
YAMAURA Yoshihiko

Research on Spectra of Perron-Frobenius operator generated by dynamical systm and random numbers
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2004 - 2007
MORI Makoto; FUKUDA Takuo; YAMAURA Yoshihiko; SUZUKI Osamu

Study on Regularity and Singularity of Minimal Surfaces in Higher Dimensions and The Evolution
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2003 - 2004
MISAWA Masashi; TONEGAWA Yoshihiro; KOBAYASHI Osamu; FURUSHIMA Mikio

Research on Perron-Frobenius operator and fractals
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2002 - 2003
MORI Makoto; SUZUKI Osamu; YAMAURA Yoshihiko; FUKUDA Takuo

Research on ergodic theory and Perron-Frobenius operator
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2000 - 2001
MORI Makoto; FUKUDA Takuo; WATANABE Keiichi; KURODA Koji; YAMAURA Yoshihiko; SUZUKI Osamu

Probabilistic investigation of phase transitions for lattice spin systems
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 1995 - 1996
KURODA Koji; YAMAURA Yoshihiko; TODA Seinosuke; MOTEGI Kimihiko; SUZUKI Masahiko; SAITO Akira

幾何学的測度論及びその時間発展問題の研究
日本学術振興会, 科学研究費助成事業, 1995 - 1995
山浦 義彦

変分問題と大域解析学
日本学術振興会, 科学研究費助成事業, 1994 - 1994
菊池 紀夫; 三沢 正史; 山浦 義彦; 石川 史郎; 前田 吉昭; 谷 温之

液晶の数理解析
日本学術振興会, 科学研究費助成事業, 1994 - 1994
菊池 紀夫; 山浦 義彦; 三沢 正史; 青木 圭子; 小俣 正朗; 宮島 英紀