39 citations · 160 across the 44 of their papers we have counts for
4 papers · 1 filter
Refined asymptotic expansions of solutions to fractional diffusion equations
Kazuhiro Ishige, Tatsuki Kawakami
In this paper, as an improvement of the paper [K. Ishige, T. Kawakami and H. Michihisa, SIAM J. Math. Anal. 49 (2017) pp. 2167--2190], we obtain the higher order asymptotic expansi…
General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
This paper presents an integrated framework to construct local-energy solutions to fairly general nonlinear diffusion equations for initial data growing at infinity under suitable…
Power concavity and Dirichlet heat flow
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We show that log-concavity is the weakest power concavity preserved by the Dirichlet heat flow in -dimensional convex domains, where (indeed, we prove that starting wit…
Existence of solutions to nonlinear parabolic equations via majorant integral kernel
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe
We establish the existence of solutions to the Cauchy problem for a large class of nonlinear parabolic equations including fractional semilinear parabolic equations, higher-order s…