Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GLOBAL ATTRACTOR FOR A SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY IN UNBOUNDED DOMAINS

  • Received : 2021.02.19
  • Accepted : 2021.05.10
  • Published : 2022.04.30
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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

Acknowledgement

This research is funded by Hung Vuong University.

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