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On the Stokes system and on the biharmonic equation in the half‐space: an approach via weighted Sobolev spaces
Tahar Z. Boulmezaoud
Source abstract
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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