Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition

被引：7

作者：

Li, Xiliu ^{[1
]}

Mu, Chunlai ^{[1
]}

Zhang, Qingna ^{[1
]}

Zhou, Shouming ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

DEGENERATE PARABOLIC PROBLEM; CRITICAL EXPONENTS;

D O I：

10.1155/2012/539161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point that is x = 1 are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results.

引用

页数：13

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