- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 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.c210061Published online March 29, 2022Printed 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. Downloads: Full-text PDF   Full-text HTML

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd