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Nonlinear anisotropic parabolic equations in R N with locally integrable data
Author(s) -
Mokhtari Fares
Publication year - 2012
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.2581
Subject(s) - mathematics , smoothness , sobolev space , integrable system , compact space , anisotropy , nonlinear system , mathematical analysis , parabolic partial differential equation , sobolev inequality , class (philosophy) , pure mathematics , partial differential equation , physics , computer science , quantum mechanics , artificial intelligence
In this paper, we prove existence and regularity of weak solutions for a class of nonlinear anisotropic parabolic problems in R N with locally integrable data. Our approach is based on the anisotropic Sobolev inequality, a smoothness, and compactness results. Copyright © 2012 John Wiley & Sons, Ltd.