APPEARANCE OF ANOMALOUS SINGULARITIES IN A SEMILINEAR PARABOLIC EQUATION

被引：10

作者：

Sato, Shota ^{[1
]}

Yanagida, Eiji ^{[2
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 01期

基金：

日本学术振兴会;

关键词：

Semilinear parabolic equation; backward self-similar solution; singular solution; critical exponent; HEAT-EQUATION; BLOWUP; NONLINEARITY; EXISTENCE;

D O I：

10.3934/cpaa.2012.11.387

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for a parabolic partial differential equation with a power nonlinearity is studied. It is known that in some parameter range, there exists a time-local solution whose singularity has the same asymptotics as that of a singular steady state. In this paper, a sufficient condition for initial data is given for the existence of a solution with a moving singularity that becomes anomalous in finite time.

引用

页码：387 / 405

页数：19

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