Journal
APPLIED MATHEMATICS LETTERS
Volume 69, Issue -, Pages 55-60Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.01.013
Keywords
Equivalence relation; Asymptotic behavior; omega-limit set; Evolution p-Laplacian equation
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Funding
- NSFC [11071099, 11371153]
- Natural Science Foundation Project of CQ [cstc2016jcyjA0596]
- Scientific and Technological Research Program of Chongqing Municipal Education Commission [KJ1401003, KJ1601009]
- Innovation Team Building at Institutions of Higher Education in Chongqing [CXTDX201601035]
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In this paper, we consider the Cauchy problem of the evolution p-Laplacian equation, and reveal the fact that there exists an equivalence relation between the omega-limit set of solutions and the omega-limit set of initial values. This relation can be used to prove different asymptotic behaviors of solutions, and two examples are given at the end of this paper. (C) 2017 Elsevier Ltd. All rights reserved.
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