| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 2, April 2023
|
|
|---|---|---|
| Page(s) | 99 - 105 | |
| DOI | https://doi.org/10.1051/wujns/2023282099 | |
| Published online | 23 May 2023 | |
Mathematics
CLC number: O 175
Global Existence and Extinction Behaviour for a Doubly Nonlinear Parabolic Equation with Logarithmic Nonlinearity
School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China
Received:
12
July
2022
This paper is mainly focused on the global existence and extinction behaviour of the solutions to a doubly nonlinear parabolic equation with logarithmic nonlinearity. By making use of energy estimates method and a series of ordinary differential inequalities, the global existence of the solution is obtained. Moreover, we give the sufficient conditions on the occurrence (or absence) of the extinction behaviour.
Key words: global existence / extinction behaviour / doubly nonlinear parabolic equation / logarithmic nonlinearity
Biography: LIU Dengming, male, Ph. D., Professor, research direction: nonlinear partial differential equations. E-mail: liudengming@hnust.edu.cn
Fundation item: Supported by the Project of Education Department of Hunan Province (20A174)
© Wuhan University 2023
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