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January, 1999 On the Lq-Lr estimates of the Stokes semigroup in a two dimensional exterior domain
Wakako DAN, Yoshihiro SHIBATA
J. Math. Soc. Japan 51(1): 181-207 (January, 1999). DOI: 10.2969/jmsj/05110181

Abstract

We proved Lq-Lr type estimates of the Stokes semigroup in a two dimensional exterior domain. Our proof is based on the local energy decay estimate obtained by investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

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Wakako DAN. Yoshihiro SHIBATA. "On the Lq-Lr estimates of the Stokes semigroup in a two dimensional exterior domain." J. Math. Soc. Japan 51 (1) 181 - 207, January, 1999. https://doi.org/10.2969/jmsj/05110181

Information

Published: January, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0924.35094
MathSciNet: MR1661048
Digital Object Identifier: 10.2969/jmsj/05110181

Subjects:
Primary: 35Q30

Keywords: $L_{q}-L_{r}$ estimates , boundary value problem in a two dimensional exterior domain , local energy decay , low frequency asymptotic behavior , Stokes semigroup

Rights: Copyright © 1999 Mathematical Society of Japan

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Vol.51 • No. 1 • January, 1999
Mathematical Society of Japan
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