ON A REGULARITY THEOREM FOR WEAK SOLUTIONS TO TRANSMISSION PROBLEMS WITH INTERNAL LIPSCHITZ BOUNDARIES

被引：83

作者：

ESCAURIAZA, L

FABES, EB

VERCHOTA, G

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

[2] SYRACUSE UNIV,DEPT MATH,SYRACUSE,NY 13244

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 04期

关键词：

D O I：

10.2307/2159357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if u is a weak solution to div(A-nabla-u) = 0 on an open set OMEGA containing a Lipschitz domain D, where A = kI(chi-D + I(chi-OMEGA/D) (k > 0, k not-equal 1). Then, the nontangential maximal function of the gradient of u lies in L2(partial derivative D).

引用

页码：1069 / 1076

页数：8

共 8 条

[1] THE CAUCHY INTEGRAL DEFINES AN OPERATOR ON L2 FOR LIPSCHITZ-CURVES [J].