Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations

被引：5

作者：

Punzo, Fabio ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 08期

关键词：

Singular parabolic problems; Nonlinear diffusion; Well-posedness; WELL-POSEDNESS;

D O I：

10.1016/j.na.2008.12.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate well-posedness of initial-boundary value problems for a class of nonlinear parabolic equations with variable density. At some part of the boundary, called singular boundary, the density can either vanish or diverge or not need to have a limit. We provide simple conditions for uniqueness or non-uniqueness of bounded solutions, depending on the behaviour of the density near the singular boundary. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3020 / 3029

页数：10

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