Premium
Anisotropically weighted Poincaré‐type inequalities; Application to the Oseen problem
Author(s) -
Amrouche Chérif,
Razafison Ulrich
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310403
Subject(s) - mathematics , extension (predicate logic) , generalization , poincaré conjecture , type (biology) , inequality , sobolev space , pure mathematics , sobolev inequality , work (physics) , mathematical analysis , computer science , physics , ecology , biology , programming language , thermodynamics
The aim of this article is to prove Poincaré‐type inequalities concerning functions in Sobolev spaces with anisotropic weights that appear in the investigation of the Oseen equations. The inequalities are a generalization and an extension of inequalities we established in a previous work. As an application, we derive existence result and anisotropically weighted L p estimates for the pressure of the Oseen problem in ℝ 3 . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)