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 2013 · math.APShow all

3 papers · 2 filters

math.AP2013★ 3 cited

Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups

Norisuke Ioku, Kazuhiro Ishige, Eiji Yanagida

Let $H := - Δ + V$ be a nonnegative Schrödinger operator on $L^{2} (R^{N})$ , where $N \geq 2$ and $V$ is a radially symmetric function decaying quadratically at the space infinity. In th…

math.AP2013★ 28 cited

Asymptotics for a nonlinear integral equation with a generalized heat kernel

Kazuhiro Ishige, Tatsuki Kawakami, Kanako Kobayashi

This paper is concerned with a nonlinear integral equation $(P) u (x, t) = \int_{R^{N}} G (x - y, t) φ (y) d y + \int_{0}^{t} \int_{R^{N}} G (x - y, t - s) f (y, s : u) d y d s,$ where $N\ge 1…

math.AP2013

Parabolic power concavity and parabolic boundary value problems

Kazuhiro Ishige, Paolo Salani

This paper is concerned with power concavity properties of the solution to the parabolic boundary value problem \begin{equation} \tag{ $P$ } \left\{\begin{array}{ll} \partial_t u=Δu…