Nonlinear anisotropic parabolic equations in    R  N    with locally integrable data | Zendy

Mokhtari Fares | Zendy

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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.

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