Global attractor for a semilinear strongly degenerate parabolic equation with exponential nonlinearity in unbounded domains
Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 423-443
https://doi.org/10.4134/CKMS.c210061
Published online March 29, 2022
Printed April 30, 2022
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 parabolic equations with exponential nonlinearities on $\mathbb 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
Supported by : This research is funded by Hung Vuong University.
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