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.
Full-Text :


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by INFOrang Co., Ltd