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Anisotropic parabolic problems with Orlicz data
Author(s) -
Mokhtari Fares
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1508
Subject(s) - mathematics , smoothness , anisotropy , compact space , sobolev space , mathematical analysis , class (philosophy) , work (physics) , sobolev inequality , pure mathematics , physics , computer science , quantum mechanics , artificial intelligence , thermodynamics
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. Copyright © 2011 John Wiley & Sons, Ltd.
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