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.

引用

页码：36 / 83

页数：48

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