3 citations · 13 across the 19 of their papers we have counts for
24 papers
Supercritical Henon type equation with a forcing term
Kazuhiro Ishige, Sho Katayama
This paper is concerned with the structure of solutions to the elliptic problem for an Henon type equation with a forcing term. Under suitable assumptions on the forcing term, we g…
Initial traces and solvability for a semilinear heat equation on a half space of
Kotaro Hisa, Kazuhiro Ishige, Jin Takahashi
We show the existence and the uniqueness of initial traces of nonnegative solutions to a semilinear heat equation on a half space of under the zero Dirichlet bounda…
Solvability of Superlinear Fractional Parabolic Equations
Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige +1
We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our condi…
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…
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…