International Journal of Differential Equations

Attractors for Nonautonomous Parabolic Equations without Uniqueness

Cung The Anh and Nguyen Dinh Binh

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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.

Article information

Int. J. Differ. Equ., Volume 2010 (2010), Article ID 103510, 17 pages.

Received: 9 September 2009
Revised: 12 February 2010
Accepted: 8 April 2010
First available in Project Euclid: 26 January 2017

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The Anh, Cung; Dinh Binh, Nguyen. Attractors for Nonautonomous Parabolic Equations without Uniqueness. Int. J. Differ. Equ. 2010 (2010), Article ID 103510, 17 pages. doi:10.1155/2010/103510.

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