BLOWUP FOR A DEGENERATE AND SINGULAR PARABOLIC EQUATION WITH NON-LOCAL SOURCE AND ABSORPTION

被引：7

作者：

Zhou, Jun ^{[1
]}

Mu, Chunlai ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

来源：

GLASGOW MATHEMATICAL JOURNAL | 2010年 / 52卷

关键词：

POSITIVE SOLUTIONS; GLOBAL EXISTENCE; BOUNDARY; BEHAVIOR;

D O I：

10.1017/S0017089509990280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the following degenerate and singular equation x(q)u(t) - (x(p)u(x))(x) = integral(a)(0) u(m)(x, t)dx - ku(n)(x, t) with non-local source and absorption. The existence of a unique classical non-negative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained.

引用

页码：209 / 225

页数：17

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