Global attractor for a semilinear strongly degenerate parabolic equation with exponential nonlinearity in unbounded domains
Commun. Korean Math. Soc.
Published online July 21, 2021
Nguyen Xuan Tu
Hung Vuong University
Abstract : We study the existence and long-time behavior of weak solutions to a class of strongly degenerate semilinear parapolic equations with exponential nonlinearities on $\Bbb R^N $. To overcome some significant difficulty caused by the lack of compactness of the embeddings, the existence of a global attractor is proved by combining the tail estimates method and the asymptotic {\it a priori} estimate method.
Keywords : Degenerate parabolic equation; Exponential nonlinearity; Unbounded domain; Weak solution; Global attractor
MSC numbers : 35B41; 35D30; 37K65.
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