Life span of solutions for a semilinear heat equation with inhomogeneous source

被引：3

作者：

Wang, Zhiyong ^{[1
,2
]}

Yin, Jingxue ^{[1
,3
]}

You, Liting ^{[3
]}

机构：

[1] Fujian Normal Univ, Sch Math & Stat, Fujian Key Lab Math Anal & Applicat, Fuzhou 350117, Peoples R China

[2] Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Fuzhou 350117, Peoples R China

[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 350卷

关键词：

LARGE TIME BEHAVIOR; PARABOLIC EQUATIONS; CRITICAL EXPONENTS; GLOBAL EXISTENCE; CAUCHY-PROBLEM; INITIAL DATA; BLOW-UP;

D O I：

10.1016/j.jde.2022.12.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the life span of solutions for a semilinear heat equation with space inhomogeneous source term lambda f (x). By using the comparison principle and modifying Kaplan's first eigenvalue method, we obtain asymptotic behaviour of the life span for different scales of lambda.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：189 / 201

页数：13

共 19 条

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