Y. Kaneko, H. Matsuzawa, Y. 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, submitted
Y. Kaneko, H. Matsuzawa, Y. Yamada,
A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions I: Classification of asymptotic behavior, accepted in Discrete and Continuous Dynamical Systems
M. Endo, Y. Kaneko, Y. Yamada,
Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity, Discrete and Continuous Dynamical Systems, 40 No.6 (2020), 3375-3394.
Y. Kaneko, H. Matsuzawa, Y. Yamada,
Asymptotic profiles of solutions and propagating terrace for a free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity, SIAM Journal on Mathematical Analysis, 52 (2020), 65-103.
Y. Kaneko, Y. Yamada,
Spreading speed and profiles of solutions to a free boundary problem
with Dirichlet boundary conditions, Journal of Mathematical Analysis and Applications, 465 (2018), 1159-1175.
Y. Kaneko, H. Matsuzawa,
Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundary, Journal of Differential Equations, 265 (2018), 1000-1043.
Y. Kaneko, H. Matsuzawa,
Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations, Journal of Mathematical Analysis and Applications, 428 (2015), 43-76.
Y. Kaneko,
Spreading and vanishing behaviors for radially symmetric solutions of free boundary problems for reaction-diffusion equations, Nonlinear Analysis: Real World Applications, 18 (2014), 121-140.
Y. Kaneko, K. Oeda, Y. Yamada,
Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations, Funkcialaj Ekvacioj (Division of Functional Equations, the Mathematical Society of Japan), 57 (2014), 449-465.
Y. Kaneko, Y. Yamada,
A free boundary problem for a reaction-diffusion equation appearing in ecology, Advances in Mathematical Sciences and Applications, 21 No.2 (2011), 467-492.
Lecture notes
Y. Kaneko, Spreading profiles of solutions to a free boundary problem for a reaction-diffusion equation,
京都大学数理解析研究所講究録「常微分方程式の定性的理論および数理モデル研究への応用」, No. 2122, (2019), 9-18.
Y. Kaneko and Y. Yamada, Spreading, vanishing and singularity for radially symmetric solutions of a Stefan-type free boundary problem,
京都大学数理解析研究所講究録「非線形現象の解析への応用としての発展方程式論の展開」, No. 1997, (2016), 86-95.
Y. Kaneko, Y. Yamada,
On a population model with a free boundary and related elliptic problems,
京都大学数理解析研究所講究録「常微分方程式の定性的理論の新展開」, No. 1901 (2014), 69-78.
Y. Kaneko, Y. Yamada,
Asymptotic behavior of solutions for free boundary problems related to an ecological model,
Proceedings of Seminar on Partial Differential Equations in Osaka 2012
-in honor of Professor Hiroki Tanabe’s 80th birthday-, (2013), 55-64．