Existence and Continuity of Global Attractors for a Degenerate Semilinear Parabolic Equation
نویسنده
چکیده
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
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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تاریخ انتشار 2009