Global existence and blow-up of solutions to a semilinear heat equation with logarithmic nonlinearity

被引：11

作者：

Peng, Jingmei ^{[1
]}

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Semilinear heat equation; logarithmic nonlinearity; global existence; blow-up; PARABOLIC EQUATIONS; HYPERBOLIC-EQUATIONS; INSTABILITY; NONEXISTENCE; THEOREMS; TIME;

D O I：

10.1080/00036811.2019.1698726

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the initial boundary value problem of a semilinear heat equation with logarithmic nonlinearity. By using potential well method and energy method, we obtain the existence of global solutions and finite-time blow-up solutions. Moreover, the upper bound of blow-up time is discussed under suitable assumptions.

引用

页码：2804 / 2824

页数：21

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