Sharp estimate of the spreading speed determined by nonlinear free boundary problems Y Du, H Matsuzawa, M Zhou
SIAM Journal on Mathematical Analysis 46 (1), 375-396, 2014
148 2014 Concentration profile of endemic equilibrium of a reaction–diffusion–advection SIS epidemic model K Kuto, H Matsuzawa, R Peng
Calculus of Variations and Partial Differential Equations 56 (4), 112, 2017
81 2017 Spreading speed and profile for nonlinear Stefan problems in high space dimensions Y Du, H Matsuzawa, M Zhou
Journal de Mathématiques Pures et Appliquées 103 (3), 741-787, 2015
69 2015 Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection–diffusion equations Y Kaneko, H Matsuzawa
Journal of Mathematical Analysis and Applications 428 (1), 43-76, 2015
68 * 2015 The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment 栄伸一郎, 松澤寛
Faculty of Mathematics, Kyushu University, 2008
36 2008 Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity Y Kaneko, H Matsuzawa, Y Yamada
SIAM Journal on Mathematical Analysis 52 (1), 65-103, 2020
22 2020 Stable transition layers in a balanced bistable equation with degeneracy H Matsuzawa
Nonlinear Analysis: Theory, Methods & Applications 58 (1-2), 45-67, 2004
16 2004 Multiple stable patterns in a balanced bistable equation with heterogeneous environments K Kurata, H Matsuzawa
Applicable Analysis 89 (7), 1023-1035, 2010
15 2010 Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundary Y Kaneko, H Matsuzawa
Journal of Differential Equations 265 (3), 1000-1043, 2018
12 2018 Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation. H Matsuzawa
Electronic Journal of Differential Equations (EJDE)[electronic only] 2006 …, 2006
8 2006 A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace … Y Kaneko, H Matsuzawa, Y Yamada
Journal de Mathématiques Pures et Appliquées 178, 1-45, 2023
7 2023 Asymptotic profiles of variational solutions for a FitzHugh–Nagumo-type elliptic system H Matsuzawa
Nonlinear Analysis 5 (63), e2545-e2551, 2005
7 2005 Asymptotic profiles of variational solutions for a FitzHugh-Nagumo-type elliptic system H Matsuzawa
7 2003 A free boundary problem for the Fisher-KPP equation with a given moving boundary H Matsuzawa
Communications on Pure and Applied Analysis 17 (5), 1821-1852., 2018
6 2018 On a solution with transition layers for a bistable reaction-diffusion equation with heterogeneous environments H Matsuzawa
Discrete and Continuous Dynamical Systems Supplement 2009, 516-525, 2009
4 * 2009 A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I: Classification of asymptotic behavior Y Kaneko, H Matsuzawa, Y Yamada
Discrete Contin. Dyn. Syst 42, 2719-2745, 2022
3 2022 Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on \begin{document} \end{document}. H Matsuzawa, M Nara
Discrete & Continuous Dynamical Systems: Series A 42 (10), 2022
2 2022 Refined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion type C Lei, H Matsuzawa, R Peng, M Zhou
Journal of Differential Equations 265 (7), 2897–2920, 2018
2 2018 A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions Ⅲ: General case Y Kaneko, H Matsuzawa, Y Yamada
Discrete and Continuous Dynamical Systems-S 17 (2), 742-761, 2024
1 2024 Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity H Matsuzawa, H Monobe, M Shimojo, E Yanagida
Indiana University Mathematics Journal 71 (1), 125-151, 2022
1 2022