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On the Stokes system and on the biharmonic equation in the half-space: an approach via weighted Sobolev spaces

✍ Scribed by Tahar Z. Boulmezaoud

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
209 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we investigate the Stokes system and the biharmonic equation in a half‐space of ℝ^n^. Our approach rests on the use of a family of weighted Sobolev spaces as a framework for describing the behaviour at infinity. A complete class of existence, uniqueness and regularity results for both the problems is proved. The proofs are mainly based on the principle of reflection. Copyright © 2002 John Wiley & Sons, Ltd.

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