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PARABOLIC EQUATIONS IN ORLICZ SPACES

✍ Scribed by ELMAHI, A.; MESKINE, D.


Book ID
121437197
Publisher
Oxford University Press
Year
2005
Tongue
English
Weight
220 KB
Volume
72
Category
Article
ISSN
0024-6107

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Strongly nonlinear parabolic equations w
✍ A. Elmahi; D. Meskine πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 365 KB

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