Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition


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.


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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


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