Attractors for Nonautonomous Parabolic Equations without Uniqueness

Cung The Anh and Nguyen Dinh Binh

International Journal of Differential Equations, 2010, vol. 2010, 1-17

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:103510

DOI: 10.1155/2010/103510

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