Classical solutions for the pressure-gradient equations in non-smooth and non-convex domains

被引：21
|
作者：
Kim, EH [1 ]
Song, K
机构：
[1] Calif State Univ Long Beach, Dept Math, Long Beach, CA 90840 USA
[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 293卷 / 02期
基金：
美国国家科学基金会;
关键词：
pressure-gradient equations; degenerate elliptic;
D O I：
10.1016/j.jmaa.2004.01.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the existence of the classical solution for the pressure-gradient equation in a nonsmooth and non-convex domain. The equation is elliptic inside the domain, becomes degenerate on the boundary, and is singular at the origin when the origin lies on the boundary. We show the solution is smooth inside the domain and continuous up to the boundary. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：541 / 550
页数：10
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