K. Taniguchi

most citedGradient estimates and their optimality for heat equation in an exterior domain

2 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

math.AP2017★ 2 cited

Gradient estimates and their optimality for heat equation in an exterior domain

Vladimir Georgiev, Koichi Taniguchi

This paper is devoted to the study of gradient estimates for the Dirichlet problem of the heat equation in the exterior domain of a compact set. Our results describe the time decay…

math.FA2017★ 1 cited

Besov spaces generated by the Neumann Laplacian

Koichi Taniguchi

The purpose of this paper is to give a definition and prove the fundamental properties of Besov spaces generated by the Neumann Laplacian. As a by-product of these results, the fra…

math.FA2016

Besov spaces on open sets

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

This paper is devoted to giving definitions of Besov spaces on an arbitrary open set of $R^{n}$ via the spectral theorem for the Schrödinger operator with the Dirichlet bound…

math.FA2016

$L^{p}$ -mapping properties for Schrödinger operators in open sets of $R^{d}$

T. Iwabuchi, T. Matsuyama, K. Taniguchi

Let $H_{V} = - Δ + V$ be a Schrödinger operator on an arbitrary open set $Ω$ of $R^{d}$ , where $d \geq 3$ , and $Δ$ is the Dirichlet Laplacian and the potential $V$ belongs to the Ka…

Gradient estimates and their optimality for heat equation in an exterior domain

Besov spaces generated by the Neumann Laplacian

Besov spaces on open sets

Lp-mapping properties for Schrödinger operators in open sets of Rd

$L^{p}$ -mapping properties for Schrödinger operators in open sets of $R^{d}$