2001 The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces
Paul Deuring
Adv. Differential Equations 6(2): 175-228 (2001). DOI: 10.57262/ade/1357141493

Abstract

It is shown that solutions of the 3D Stokes resolvent problem in domains with conical boundary points, under homogeneous Dirichlet boundary conditions, do not satisfy the usual resolvent estimate in $L^p$-spaces if $p $ is close to infinity or close to $1.$

Citation

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Paul Deuring. "The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces." Adv. Differential Equations 6 (2) 175 - 228, 2001. https://doi.org/10.57262/ade/1357141493

Information

Published: 2001
First available in Project Euclid: 2 January 2013

zbMATH: 1038.35053
MathSciNet: MR1799750
Digital Object Identifier: 10.57262/ade/1357141493

Subjects:
Primary: 35Q30
Secondary: 35J55 , 76D07

Rights: Copyright © 2001 Khayyam Publishing, Inc.

Vol.6 • No. 2 • 2001
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