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Anisotropic parabolic problems with Orlicz data

✍ Scribed by Fares Mokhtari

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
141 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

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.

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We prove approximation and compactness results in inhomogeneous Orlicz-Sobolev spaces and look at, as an application, the Cauchy-Dirichlet equation u +A(u)+g(x, t, u, βˆ‡u)=f ∈ W -1,x E M , where A is a Leray-Lions operator having a growth not necessarily of polynomial type. We also give a trace resul