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
Keywords:
$L^p - L^q$ estimate of Stokes semigroup
,
exterior domain
,
Navier–Stokes equations
,
perturbed half-space
,
weighted estimates
Rights: Copyright © 2015 Mathematical Society of Japan
