The LP Dirichlet problem for second order elliptic operators and a p-adapted square function

被引：40

作者：

Dindos, Martin

Petermichl, Stefanie

Pipher, Jill ^{[1
]}

机构：

[1] Univ Edinburgh, Edinburgh, Midlothian, Scotland

[2] Univ Texas, Austin, TX 78712 USA

[3] Brown Univ, Providence, RI 02912 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 249卷 / 02期

基金：

美国国家科学基金会;

关键词：

Dirichlet problem; elliptic second order operators; Lipschitz domains;

D O I：

10.1016/j.jfa.2006.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish L-p-solvability for 1 < p < infinity of the Dirichlet problem on Lipschitz domains with small Lipschitz constants for elliptic divergence and non-divergence type operators with rough coefficients obeying a certain Carleson condition with small norm. (C) 2006 Published by Elsevier Inc.

引用

页码：372 / 392

页数：21

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