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The Stationary Oseen Equations in $${\mathbb{R}}^{3}$$ . An Approach in Weighted Sobolev Spaces

Authors:	Chérif Amrouche Ulrich Razafison

Institution:	(1) Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau et des Pays de l’Adour, IPRA-Avenue de l’Université, 64000 Pau, France

Abstract:	In this paper we solve the stationary Oseen equations in ${\mathbb{R}}^{3}$ . The behavior of the solutions at infinity is described by setting the problem in weighted Sobolev spaces including anisotropic weights. The study is based on a L^p theory for 1 < p < ∞.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 76D05 35Q30 26D15 46D35
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