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VOL. 64 | 2015 Weighted estimate of Stokes semigroup in unbounded domains
Takayuki Kobayashi, Takayuki Kubo

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

We show $L^p - L^q$ estimates with the $\langle x\rangle^s$ type weight of Stokes semigroup in exterior domains and perturbed half-spaces. Moreover as application of these estimates, we obtain weighted estimates for global solution to the Navier–Stokes equations with small data in these domains.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35183
MathSciNet: MR3381309

Digital Object Identifier: 10.2969/aspm/06410427

Subjects:
Primary: 35K45, 76D05

Rights: Copyright © 2015 Mathematical Society of Japan

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