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http://dx.doi.org/10.4134/CKMS.c210061

GLOBAL ATTRACTOR FOR A SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY IN UNBOUNDED DOMAINS  

Tu, Nguyen Xuan (Faculty of Natural Sciences Hung Vuong university)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 423-443 More about this Journal
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 ℝN. 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 a priori estimate method.
Keywords
Degenerate parabolic equation; exponential nonlinearity; unbounded domain; weak solution; global attractor;
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