Dynamics for a complex-valued heat equation with an inverse nonlinearity

被引：1

作者：

Guo, Jong-Shenq ^{[1
]}

Ling, Chia-Tung ^{[2
]}

机构：

[1] Tamkang Univ, Dept Math, New Taipei City 25137, Taiwan

[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 400卷 / 01期

关键词：

Cauchy problem; Complex-valued heat equation; Global existence; Quenching; SPACE INFINITY; BLOW-UP; SYSTEM;

D O I：

10.1016/j.jmaa.2012.11.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for a parabolic system which is derived from a complex-valued heat equation with an inverse nonlinearity. First, we provide some criteria for the global existence of solutions. Then we consider the case when the initial data are asymptotically constants and obtain that, depending on the asymptotic limits, the solution quenches at space infinity or exists globally in time. (C) 2012 Elsevier Inc. All rights reserved.

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收藏

页码：153 / 160

页数：8

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