THE DIRICHLET PROBLEM FOR ELLIPTIC-SYSTEMS IN PIECEWISE C(1) PLANE DOMAINS

被引：2

作者：

DIOMEDA, L ^{[1
]}

LISENA, B ^{[1
]}

机构：

[1] UNIV BARI,DIPARTIMENTO MATEMAT,I-70124 BARI,ITALY

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1992年 / 41卷 / 03期

关键词：

D O I：

10.1512/iumj.1992.41.41035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Dirichlet problem for a strongly elliptic system Lu = 0 with boundary data in L(p)(partial-derivative OMEGA). 1 < p < +infinity, in a piecewise C1 plane domain OMEGA. We show that it is always possible to represent the solution in the form of a double layer potential for which the boundary integral operator is always a Fredholm operator of index 0 for all p, 2 < p < +infinity.

引用

页码：649 / 670

页数：22

共 12 条

[1]

DAHLBERG BEJ, 1988, DUKE MATH J, V37, P795

[2] ASYMPTOTICS OF SOLUTIONS TO PSEUDODIFFERENTIAL-EQUATIONS OF MELLIN TYPE [J].