Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions

被引：1

作者：

Zhang Wenqian ^{[1
]}

Zhang Lingling ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

来源：

2022 34TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2022年

关键词：

Parabolic equations; Blow-up; Upper and lower bounds; Global; REACTION-DIFFUSION EQUATION;

D O I：

10.1109/CCDC55256.2022.10034108

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we mainly study the global and blow-up solutions of a class of parabolic equations with nonlinear boundary conditions. With the aid of auxiliary functions and first-order differential inequality, we not only prove the existence of global solution but also dedicate an upper and a lower bound for blow-up time under some appropriate assumptions. Moreover, two examples are given to prove the correctness of the main results.

引用

页码：5916 / 5921

页数：6

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