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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Reaction-diffusion equation Dirichlet boundary quenching time control system
• 年，卷（期）: 2020,（1）
• 页码范围: 39-47
• 页数: 9页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v33.n1.3

摘要

This paper deals with the quenching solution of the initial boundary value problem for aclass 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.