Attractors for nonautonomous parabolic equations without uniqueness (Q606216)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Attractors for nonautonomous parabolic equations without uniqueness |
scientific article; zbMATH DE number 5816439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Attractors for nonautonomous parabolic equations without uniqueness |
scientific article; zbMATH DE number 5816439 |
Statements
Attractors for nonautonomous parabolic equations without uniqueness (English)
0 references
16 November 2010
0 references
Summary: Using the theory of uniform global attractors of multivalued semiprocesses, we prove the existence of a uniform global attractor for a nonautonomous semilinear degenerate parabolic equation in which the conditions imposed on the nonlinearity provide the global existence of a weak solution, but not uniqueness. The Kneser property of solutions is also studied, and as a result we obtain the connectedness of the uniform global attractor.
0 references
multivalued semiprocesses
0 references
Kneser property
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.97955287
0 references
0.95168626
0 references
0.94386995
0 references
0.94380414
0 references
0.9338168
0 references
0.9332285
0 references
0.9287233
0 references