Blow-up solutions for nonlinear reaction diffusion equations under Neumann boundary conditions

被引：14

作者：

Ding, Juntang ^{[1
]}

Hu, Hongjuan ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China

来源：

APPLICABLE ANALYSIS | 2017年 / 96卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Reaction diffusion equation; blow-up; lower bound; LINEAR PARABOLIC PROBLEMS; GLOBAL EXISTENCE; CRITICAL EXPONENTS; THEOREMS; TIME;

D O I：

10.1080/00036811.2016.1143933

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the blow-up solutions for the following nonlinear reaction diffusion equations with time-dependent coefficients under Neumann boundary condition is a bounded convex domain of with smooth boundary . By means of a first-order differential inequality technique, a lower bound on blow-up time is derived when blow-up occurs. Moreover, the conditions which imply that blow-up occurs are determined.

引用

页码：549 / 562

页数：14

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