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.
Citation
Cung The Anh. Nguyen Dinh Binh. "Attractors for Nonautonomous Parabolic Equations without Uniqueness." Int. J. Differ. Equ. 2010 1 - 17, 2010. https://doi.org/10.1155/2010/103510
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