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VOL. 47.1 | 2007 $L_p$–$L_q$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
Yoshihiro Shibata, Senjo Shimizu

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Abstract

We consider the Neumann problem for the Stokes equations with non-homogeneous boundary and divergence conditions in a bounded domain. We obtain a global in time $L_p$-$L_q$ maximal regularity theorem with exponential stability. To prove the $L_p$-$L_q$ maximal regularity, we use the Weis operator valued Fourier multiplier theorem.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1141.35344
MathSciNet: MR2387244

Digital Object Identifier: 10.2969/aspm/04710349

Rights: Copyright © 2007 Mathematical Society of Japan

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