Global Existence and Blowup for a Parabolic Equation with a Non-Local Source and Absorption

被引：8

作者：

Ling, Zhi ^{[1
]}

Lin, Zhigui ^{[1
]}

Pedersen, Michael ^{[2
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

[2] Tech Univ Denmark, Dept Math, DK-2800 Lnygby, Denmark

来源：

ACTA APPLICANDAE MATHEMATICAE | 2013年 / 124卷 / 01期

关键词：

Free boundary; Blowup; Global solution; Non-local source; Absorption; FREE-BOUNDARY; DEGENERATE; BEHAVIOR; MODEL;

D O I：

10.1007/s10440-012-9774-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a double fronts free boundary problem for a parabolic equation with a non-local source and absorption. The long time behaviors of the solutions are given and the properties of the free boundaries are discussed. Our results show that if the initial value is sufficiently large, then the solution blows up in finite time, while the global fast solution exists for sufficiently small initial data, and the intermediate case with suitably large initial data gives the existence of the global slow solution.

引用

页码：171 / 186

页数：16

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