T. Iwabuchi

activity

20162024

most citedSelf-similar solutions for compressible Navier-Stokes equations

2 citations · 4 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2022

Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian

Reinhard Farwig, Tsukasa Iwabuchi

We describe a procedure to introduce Sobolev spaces and the semigroup generated by the fractional Dirichlet Laplacian on an arbitrary domain of $R^{d}$ . In particular, the well-defi…

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…

Sobolev spaces on arbitrary domains and semigroups generated by fractional 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 $R^{d}$