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Volume 33, Issue 1
Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System

Xiaoqiang Dai, Chao Yang, Shaobin Huang & Fei Wu

DOI: 10.4208/jpde.v33.n1.3

J. Part. Diff. Eq., 33 (2020), pp. 39-47.

Published online: 2020-03

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35A07, 35B50, 35K55

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

daixiaoqiang@just.edu.cn (Xiaoqiang Dai)

yangchao_@hrbeu.edu.cn (Chao Yang)

huangshaobin@hrbeu.edu.cn (Shaobin Huang)

13636616007@139.com (Fei Wu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-33-39, author = {Dai , XiaoqiangYang , ChaoHuang , Shaobin and Wu , Fei}, title = {Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n1.3}, url = {http://global-sci.org/intro/article_detail/jpde/15802.html} }
TY - JOUR T1 - Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System AU - Dai , Xiaoqiang AU - Yang , Chao AU - Huang , Shaobin AU - Wu , Fei JO - Journal of Partial Differential Equations VL - 1 SP - 39 EP - 47 PY - 2020 DA - 2020/03 SN - 33 DO - http://doi.org/10.4208/jpde.v33.n1.3 UR - https://global-sci.org/intro/article_detail/jpde/15802.html KW - Reaction-diffusion equation, Dirichlet boundary, quenching time, control system. AB -

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.

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