ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS-Reference-Cited by-同舟云学术

ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS

Published:2006-04 Issue:02 Volume:04 Page:133-162
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

AMROUCHE CHÉRIF¹,RAZAFISON ULRICH¹

Affiliation:

1. Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau et des Pays de l'Adour, IPRA-Avenue de l'Université 64013 Pau, France

Abstract

In this paper, we prove existence and uniqueness results for the Oseen problem in exterior domains of ℝ3. To prescribe the growth or decay of functions at infinity, we set the problem in weighted Sobolev spaces. The analysis relies on a Lp-theory for any real p such that 1 < p < ∞.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530506000735

Reference18 articles.

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