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Global attractor for a semilinear strongly degenerate parabolic equation with exponential nonlinearity in unbounded domains

Nguyen Xuan Tu
대한수학회 (The Korean Mathematical Society)|2022.04|대한수학회논문집 (Communications of the KMS)|제37권 제2호|pp. 423-443|DOI 10.4134/CKMS.c210061

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키워드

weak solutionDegenerate parabolic equationexponential nonlinearityunbounded domainglobal attractor
주제분류수학

초록

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.

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.

참고문헌 (21)

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관련 논문AI추천

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