The Dirichlet and Regularity Problems for Some Second Order Linear Elliptic Systems on Bounded Lipschitz Domains

被引：1

作者：

Nguyen, Nguyen T. ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA

来源：

POTENTIAL ANALYSIS | 2016年 / 45卷 / 01期

关键词：

Linear elliptic systems; Second order; Bounded Lipschitz domains; Small Carleson norm condition; L-INFINITY COEFFICIENTS; LAYER POTENTIALS; NEUMANN PROBLEM; ABSOLUTE CONTINUITY; NONSMOOTH COEFFICIENTS; EQUATIONS; OPERATORS; CURVES;

D O I：

10.1007/s11118-016-9542-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate divergence-form linear elliptic systems on bounded Lipschitz domains in Rd+1, d >= 2, with L-2 boundary data. The coefficients are assumed to be real, bounded, and measurable. We show that when the coefficients are small, in Carleson norm, compared to one that is continuous on the boundary, we obtain solvability for both the Dirichlet and regularity boundary value problems given that the coefficients satisfy a certain "pseudo-symmetry" condition.

引用

页码：167 / 186

页数：20

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