## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q
β¦ LIBER β¦
On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion
β Scribed by Yoshihiro Shibata; Koumei Tanaka
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 252 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.518
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β¦ Synopsis
Abstract
The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the L~p~ framework and the sharp inner estimate of the resolvent set is obtained. Copyright Β© 2004 John Wiley Sons, Ltd.
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