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2010 Attractors for Nonautonomous Parabolic Equations without Uniqueness
Cung The Anh, Nguyen Dinh Binh
Int. J. Differ. Equ. 2010: 1-17 (2010). DOI: 10.1155/2010/103510

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.

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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

Information

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

zbMATH: 1239.35024
MathSciNet: MR2652393
Digital Object Identifier: 10.1155/2010/103510

Rights: Copyright © 2010 Hindawi

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