Blow-Up Analysis for Heat Equation with a Nonlocal Weighted Exponential Boundary Flux

被引：1

作者：

Huo, Wentao ^{[1
]}

Fang, Zhong Bo ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期

关键词：

Heat equation; weighted function; nonlocal exponential boundary flux; life span bounds; REACTION-DIFFUSION EQUATIONS; PARABOLIC EQUATIONS; GLOBAL EXISTENCE; ABSORPTION;

D O I：

10.1007/s00009-023-02354-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the blow-up phenomenon for classical heat equation with a nonlocal weighted exponential boundary flux. Based on the method of super- and sub-solutions, Kaplan's argument, the Bernoulli's techniques and modified differential inequality, we analyze the influence of the weighted function and the nonlocal exponential boundary flux on the solution exists globally or blows up in finite time. Moreover, the life span bounds of blow-up solutions are derived under appropriate measure, and some examples for application are presented.

引用

页数：18

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