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Nonlinear parabolic equations with p-growth and unbounded data

โœ Scribed by Vincenzo Ferone; Maria Rosaria Posteraro; Jean-Michel Rakotoson

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
335 KB
Volume
328
Category
Article
ISSN
0764-4442

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โœฆ Synopsis

The purpose of this paper is to prove the existence of a solution for a nonlinear parabolic equation in the form u/ -div(a(t , z , u,Duj) = Htt, x , u , Du)div(g(t.:r.ยป in QT =]0,T[xn, n c RN, with an initial condition u(O) = uo, where Un is not bounded, IH(t,x,u,() 1 ~.BI(!P + j(t,x) + ,BeAlI"I,j,) for some r = r(N) ~I, and -div(a(t , x , u , Du) is the usual Leray-Lion s operator.

๐Ÿ“œ SIMILAR VOLUMES

Strongly nonlinear parabolic equations w
Strongly nonlinear parabolic equations with natural growth terms in Orlicz spaces
โœ A. Elmahi; D. Meskine ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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, โˆ‡u)=f โˆˆ 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