Open Access
January, 2018 Analyticity of the Stokes semigroup in $BMO$-type spaces
Martin BOLKART, Yoshikazu GIGA, Takuya SUZUKI
J. Math. Soc. Japan 70(1): 153-177 (January, 2018). DOI: 10.2969/jmsj/07017346

Abstract

We consider the Stokes semigroup in a large class of domains including bounded domains, the half-space and exterior domains. We will prove that the Stokes semigroup is analytic in a certain type of solenoidal subspaces of $BMO$.

Citation

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Martin BOLKART. Yoshikazu GIGA. Takuya SUZUKI. "Analyticity of the Stokes semigroup in $BMO$-type spaces." J. Math. Soc. Japan 70 (1) 153 - 177, January, 2018. https://doi.org/10.2969/jmsj/07017346

Information

Published: January, 2018
First available in Project Euclid: 26 January 2018

zbMATH: 06859848
MathSciNet: MR3750272
Digital Object Identifier: 10.2969/jmsj/07017346

Subjects:
Primary: 35Q35
Secondary: 76D07

Keywords: $BMO$ , Analytic semigroup , Stokes equations

Rights: Copyright © 2018 Mathematical Society of Japan

Vol.70 • No. 1 • January, 2018
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