Attractors for Nonautonomous Parabolic Equations without Uniqueness
نویسندگان
چکیده
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.
منابع مشابه
Global Attractors for Degenerate Parabolic Equations without Uniqueness
In this paper, using theory of attractors for multi-valued semiflows and semiprocesses, we prove the existence of compact attractor for a semilinear degenerate parabolic equation involving the Grushin operator in which the conditions imposed on the nonlinearity provide the global existence of a weak solution, but not uniqueness. Mathematics Subject Classification: 35B41, 35K65, 35D05
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