Blow-Up for a Class of Parabolic Equations with Nonlinear Boundary Conditions

被引：0

作者：

Zhao, Leina ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I | 2011年 / 6675卷

关键词：

Blow up; Blow-up rate; Blow-up set; CRITICAL EXPONENTS; GLOBAL EXISTENCE; THEOREMS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we consider the following equation partial derivative h(u)/partial derivative t = Delta u + a(x, t)f(u), ohm x (0, T), with initial condition and third boundary condition. By constructing an auxiliary function and using maximum principles, we established a sufficient conditions for the blow-up of solutions. The blow-up rate and the blow-up set were also considered under appropriate assumption. This result generalizes and improves earlier results in literatures.

引用

页码：222 / 230

页数：9

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