Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System

Authors

  • Xiaoqiang Dai Department of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
  • Chao Yang College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China.
  • Shaobin Huang College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China
  • Fei Wu No.704 Institute of China Shipbuilding Industry Corporation (CSIC), Shanghai 200000, China.

DOI:

https://doi.org/10.4208/jpde.v33.n1.3

Keywords:

Reaction-diffusion equation, Dirichlet boundary, quenching time, control system.

Abstract

"

This paper deals with the quenching solution of the initial boundary \nvalue problem for a class of semilinear reaction-diffusion equation \ncontrolled by two absorption sources in control system and estimate \nupper bound and lower bound of the\nquenching time. We point that the number of absorption sources \ninfluences the time\nof quenching phenomenon. The solution can solve some boundary value \nproblem in\ncontrol system.<\/p>"

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Published

2020-05-12

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Issue

Vol. 33 No. 1 (2020)

Section

Articles

How to Cite

Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System. (2020). Journal of Partial Differential Equations, 33(1), 39-47. https://doi.org/10.4208/jpde.v33.n1.3
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