Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System
Year: 2020
Author: Xiaoqiang Dai, Chao Yang, Shaobin Huang, Fei Wu
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 39–47
Abstract
This paper deals with the quenching solution of the initial boundary value problem for a class of semilinear reaction-diffusion equation controlled by two absorption sources in control system and estimate upper bound and lower bound of the quenching time. We point that the number of absorption sources influences the time of quenching phenomenon. The solution can solve some boundary value problem in control system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n1.3
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 39–47
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Reaction-diffusion equation Dirichlet boundary quenching time control system.