A nonlinear singular diffusion equation with source

被引：0

作者：

Jiaqing, Pan ^{[1
]}

机构：

[1] Jimei Univ, Dept Math, Xiamen 361021, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

关键词：

singular diffusion; global solution; nonlinear boundary condition;

D O I：

10.1016/j.jmaa.2006.01.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence, uniqueness and dependence on initial value of solution for a singular diffusion equation with nonlinear boundary condition are discussed. It is proved that there exists a unique global smooth solution which depends on initial data in L-1 continuously. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：703 / 714

页数：12

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