The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded Domains

被引：12

作者：

Dolcetta, Italo Capuzzo ^{[1
]}

Vitolo, Antonio ^{[2
]}

机构：

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

[2] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2018年 / 2018卷 / 02期

关键词：

BAKELMAN-PUCCI ESTIMATE; VISCOSITY SOLUTIONS; EQUATIONS; INEQUALITY;

D O I：

10.1093/imrn/rnw249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate and prove the validity of the maximum principle in narrow, possibly unbounded domains for very degenerate elliptic operators, just requiring a strict ellipticity in one direction and moreover establishing related Phragmen-Lindelof principles.

引用

页码：412 / 431

页数：20

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