Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition

Liu, Dengming ¹

¹ School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, People's Republic of China

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 12, p. 1363-1373.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.12.07

Classification : 35K50, 35K55, 35K65
Keywords: Degenerate and singular parabolic equation, global existence, blow-up, blow-up rate, uniform blow-up profile

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