Kazuhiro Ishige

activity

20122024

most citedSupersolutions for a class of nonlinear parabolic systems

39 citations · 160 across the 44 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

3 papers · 2 filters

math.AP2017

The Cauchy problem for the Finsler heat equation

Goro Akagi, Kazuhiro Ishige, Ryuichi Sato

Let $H$ be a norm of $R^{N}$ and $H_{0}$ the dual norm of $H$ . Denote by $Δ_{H}$ the Finsler-Laplace operator defined by $Δ_Hu:=\mbox{div}\,(H(\nabla u)\nabla_ξH(\nabla u))$. In th…

math.AP2017★ 1 cited

Large time behavior of solutions of the heat equation with inverse square potential

Kazuhiro Ishige, Asato Mukai

Let $L := - Δ + V$ be a nonnegative Schrödinger operator on $L^{2} (R^{N})$ , where $N \geq 2$ and $V$ is a radially symmetric inverse square potential. In this paper we assume either $L$ …

math.AP2017★ 2 cited

Solvability of the heat equation with a nonlinear boundary condition

Kotaro Hisa, Kazuhiro Ishige

We obtain necessary conditions and sufficient conditions for the solvability of the heat equation in a half-space of $R^{N}$ with a nonlinear boundary condition. Furthermore, w…