Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions

被引：6
|
作者：
Harada, Junichi [1 ]
机构：
[1] Akita Univ, Fac Educ & Human Studies, Akita 0108552, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 102卷
关键词：
Type II blow-up; Nonlinear boundary condition; HARNACK;
D O I：
10.1016/j.na.2014.01.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with finite blow-up solutions of the heat equation with nonlinear boundary conditions. It is known that a rate of blow-up solutions is the same as the self-similar rate for a Sobolev subcritical case. A goal of this paper is to construct a blow-up solution whose blow-up rate is different from the self-similar rate for a Sobolev supercritical case. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：36 / 83
页数：48
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