Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition
Volume 11, Issue 12, pp 1363--1373
http://dx.doi.org/10.22436/jnsa.011.12.07
Publication Date: September 20, 2018
Submission Date: December 01, 2017
Revision Date: August 23, 2018
Accteptance Date: August 28, 2018
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Authors
Dengming Liu
- School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, People's Republic of China.
Abstract
The aim of this article is to investigate the global existence and blow-up behavior of the nonnegative solution to a degenerate and singular parabolic equation with nonlocal boundary condition. The conditions on the existence and non-existence of the global solution are given. Furthermore, under some appropriate hypotheses, the precise blow-up rate estimate and the uniform blow-up profile of the blow-up solutions are discussed.
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ISRP Style
Dengming Liu, Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 12, 1363--1373
AMA Style
Liu Dengming, Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition. J. Nonlinear Sci. Appl. (2018); 11(12):1363--1373
Chicago/Turabian Style
Liu, Dengming. "Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition." Journal of Nonlinear Sciences and Applications, 11, no. 12 (2018): 1363--1373
Keywords
- Degenerate and singular parabolic equation
- global existence
- blow-up
- blow-up rate
- uniform blow-up profile
MSC
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