2005 - Stationary problem for reaction diffusion equations
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論文 (19件):
Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution. Journal de Mathematiques Pures et Appliquees. 2023
Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions III: General case. Discrete and Continuous Dynamical Systems. 2023
Hiroshi Matsuzawa, Mitsunori Nara. Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on $ \mathit{\boldsymbol{\mathbb{R}^N } } . Discrete and Continuous Dynamical Systems. 2022. 42. 10. 4707-4707
Yuki Kaneko, Hiroshi Matsuzawa, Yoshio Yamada. A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I : Classification of asymptotic behavior. Discrete & Continuous Dynamical Systems. 2022. 42. 6. 2719-2745
Hiroshi Matsuzawa, Harunori Monobe, Masahiko Shimojo, Eiji Yanagida. Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity. Indiana University Mathematics Journal. 2022. 71. 1. 125-151
松澤 寛. Spreading speed and profile for nonlinear diffusion problems with free boundaries (Geometry of solutions of partial differential equations). 数理解析研究所講究録. 2014. 1896. 64-78
倉田 和浩, 松澤 寛. Multiple stable patterns in a balanced bistable equation with heterogeneous environments (Variational Problems and Related Topics). 数理解析研究所講究録. 2008. 1591. 134-142
松澤 寛. On stationary solutions with transition layers for a bistable reaction diffusion equation. 沼津工業高等専門学校研究報告. 2007. 41. 213-218
松澤 寛. Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation(Mathematical Models of Phenomena and Evolution Equations). 数理解析研究所講究録. 2006. 1475. 107-120
松澤 寛. Stable transition layers in a balanced bistable equation with degeneracy (Variational Problems and Related Topics 研究集会報告集). 数理解析研究所講究録. 2004. 1405. 155-174
Asymptotic profiles of solutions and propagating terrace for a free boundary problem of a multistable reaction-diffusion equation
(微分方程式の総合的研究 2019)
Asymptotic profiles of solutions and propagating terrace for free boundary problems of multistable reaction diffusion equations
(非線形偏微分方程式における定性的理論 2019)
Spreading and vanishing for a free boundary problem of a reaction diffusion equation with a multi-stable type nonlinearity in high space dimensions
(常微分方程式における最近の動向とその発展 2019)
Asymptotic profiles of solutions and propagating terrace for a free boundary problem of reaction diffusion equation with a nonlinearity of multi-stable type
(Mini Workshop on Reaction Diffusion Equations 2019)