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Finite dimensional global attractor for a class of doubly nonlinear parabolic equations

โœ Scribed by Alain Miranville


Book ID
107385640
Publisher
SP Versita
Year
2006
Tongue
English
Weight
280 KB
Volume
4
Category
Article
ISSN
1895-1074

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๐Ÿ“œ SIMILAR VOLUMES


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โœ M. Efendiev; S. Zelik ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 244 KB

## Abstract We consider the following doubly nonlinear parabolic equation in a bounded domain ฮฉโŠ‚โ„^3^: where the nonlinearity __f__ is allowed to have a degeneracy with respect to โˆ‚~__t__~__u__ of the form โˆ‚~__t__~__u__|โˆ‚~__t__~__u__|^__p__^ at some points __x__โˆˆฮฉ. Under some natural assumptions o

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The existence, uniqueness, and L ฯฑ estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation ลฝ . t with zero boundary condition in a bounded domain โ€ ; R N are established. In particular, the behavior of the solution as t ยช 0 q and t ยช qฯฑ is in