On the refined maximum principle for degenerate elliptic and parabolic problems

被引：5

作者：

Punzo, Fabio ^{[1
]}

Tesei, Alberto ^{[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：

Refined maximum principle; Degenerate parabolic problems; Degenerate elliptic problems; Unbounded coefficients; Attracting boundary;

D O I：

10.1016/j.na.2008.12.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the refined maximum principle in [H. Berestycki, L Nirenberg, S.R.S. Varadhan, The principal eigenvalue and the maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994) 47-92] to degenerate elliptic and parabolic equations with unbounded coefficients. Then we discuss the well-posedness of the corresponding Dirichlet boundary value problems. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3047 / 3055

页数：9