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Strongly nonlinear parabolic equations with natural growth terms in Orlicz spaces

✍ Scribed by A. Elmahi; D. Meskine

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
365 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 result allowing to deduce the continuity of the solutions with respect to time.

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