39 citations · 160 across the 44 of their papers we have counts for
6 papers · 2 filters
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces II
Kazuhiro Ishige, Yujiro Tateishi
Let be a nonnegative Schrödinger operator on , where and is a radially symmetric inverse square potential. Let $\|\nabla^αe^{-tH}\|_{(L^{p,σ}…
Optimal singularities of initial functions for solvability of a semilinear parabolic system
Yohei Fujishima, Kazuhiro Ishige
Let be a nonnegative solution to the semilinear parabolic system \[ \mbox{(P)} \qquad \cases{ \partial_t u=D_1Δu+v^p, & \\ \partial_t v=D_2Δv+u^q,…
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces
Kazuhiro Ishige, Yujiro Tateishi
Let be a nonnegative Schrödinger operator on , where and is an inverse square potential. In this paper we obtain sharp decay estimates of the…
New characterizations of log-concavity
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We introduce a notion of -concavity which largely generalizes the usual concavity. By the use of the notions of closedness under positive scalar multiplication and closedness un…
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami +1
We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence t…
Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We study power concavity of rotationally symmetric solutions to elliptic and parabolic boundary value problems on rotationally symmetric domains in Riemannian manifolds. As applica…