Year: 2014
Author: Ruifei Li, Liping Zhu, Zhengce Zhang
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 217–228
Abstract
In this paper we consider the finite time quenching behavior of solutions to a semilinear heat equation with a nonlinear Neumann boundary condition. Firstly, we establish conditions on nonlinear source and boundary to guarantee that the solution doesn't quench for all time. Secondly, we give sufficient conditions on data such that the solution quenches in finite time, and derive an upper bound of quenching time. Thirdly, undermore restrictive conditions, we obtain a lower bound of quenching time. Finally, we give the exact bounds of quenching time of a special example.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n3.3
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 217–228
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear Neumann boundary