6 papers
Unique existence of solutions to the inviscid SQG equation in a critical space
Tsukasa Iwabuchi
We study the Cauchy problem for the surface quasi-geostrophic (SQG) equations in a two-dimensional bounded domain with the homogeneous Dirichlet boundary condition. We establish th…
Incompressible Euler equations in 3D bounded domains in a critical space
Tsukasa Iwabuchi, Hideo Kozono
We consider the 3D incompressible Euler equations in bounded domains with smooth boundary . Based on the paper by Iwabuchi, Matsuyama and Taniguchi (2019), we defi…
Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the parabolic Lamé system on a bounded domain. We focus on two types of inequalities for higher-order derivatives of solutions. The first is related to an -…
Besov space approach to the Navier-Stokes equations with the Neumann boundary condition in bounded domains
Tsukasa Iwabuchi, Hideo Kozono
Based on the analysis by Iwabuchi-Matsuyama-Taniguchi (2019), we first introduce our framework of Besov spaces on the bounded domain wit…
Besov spaces associated with the Harmonic oscillator
Reika Fukuizumi, Tsukasa Iwabuchi
The Besov space associated with the harmonic oscillator is introduced and thoroughly explored in this paper. It provides a comprehensive summary of the fundamental concepts of the…
Higher-order derivative estimates for the heat equation on a smooth domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the linear heat equation on a bounded domain and on an exterior domain. We study estimates of any order derivatives of the solution locally in time in the Lebesgue spac…