Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition
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Authors
Dengming Liu
- School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, People's Republic of China.
Abstract
The purpose of this work is to deal with the 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. Further, under some suitable hypotheses, we discuss the
blow-up set and the uniform blow-up profile of the blow-up solution.
Share and Cite
ISRP Style
Dengming Liu, Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 208--218
AMA Style
Liu Dengming, Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition. J. Nonlinear Sci. Appl. (2016); 9(1):208--218
Chicago/Turabian Style
Liu, Dengming. "Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 208--218
Keywords
- Degenerate and singular parabolic equation
- global existence
- blow-up
- blow-up set
- uniform blow-up profile.
MSC
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