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Anisotropic parabolic equations with measure data II

✍ Scribed by Fengquan Li

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
179 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In order to study the existence of solutions to anisotropic parabolic equations with measure data, we introduce a definition of relaxed solutions defined by J. M. Rakotoson in [13] and new type of functional sets for anisotropic parabolic equations in this paper. In the framework of new definition of solutions and functional sets, we improve those results of [8] and also extend the analogous results of [13] to anisotropic parabolic equations. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Anisotropic parabolic problems with Orli
Anisotropic parabolic problems with Orlicz data
✍ Fares Mokhtari πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

In this work, we prove the existence of weak solution for a class of anisotropic parabolic problems with Orlicz data. Our approach is based on the anisotropic Sobolev inequality, a smoothness, and compactness results.