On a resolvent estimate of the Stokes equation on an infinite layer.
type: Item
instance of: scholarly article
title: On a resolvent estimate of the Stokes equation on an infinite layer.
zbMATH Open document ID: 1048.35052
author: Takayuki Abe
author: Yoshihiro Shibata
published in: Journal of the Mathematical Society of Japan
publication date: 2003-06-30T00:00:00Z
review text: The authors establish the weak solvability of the title problem, and prove standard \(L_p\) estimates for the solution. The proof is based on a partial Fourier transform which reduces the original problem to a two-point boundary value problem for a system of ordinary differential equations with parameter. Then an application of Agmon-Douglis-Nirenberg type estimates of singular integrals provides the desired result.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 1943321
zbMATH Keywords: \(L_p\) estimate
zbMATH Keywords: Agmon-Douglis-Nirenberg estimates
zbMATH Keywords: partial Fourier transform
zbMATH Keywords: singular integrals
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1191419127
OpenAlex ID: W2073197159
DOI: 10.2969/JMSJ/1191419127
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description: scientific article; zbMATH DE number 1943321