LAYER POTENTIALS AND REGULARITY FOR THE DIRICHLET PROBLEM FOR LAPLACE EQUATION IN LIPSCHITZ-DOMAINS

被引：593
作者：
VERCHOTA, G
机构：
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1984年 / 59卷 / 03期
关键词：
D O I：
10.1016/0022-1236(84)90066-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：572 / 611
页数：40
相关论文
共 21 条
[1]   CAUCHY INTEGRALS ON LIPSCHITZ CURVES AND RELATED OPERATORS [J].
CALDERON, AP .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1977, 74 (04) :1324-1327
[2]  
CALDERON AP, 1967, P S PURE MATH AM MAT, V10
[3]  
COIFMAN R. R., 1978, ASTERISQUE, V57
[4]   THE CAUCHY INTEGRAL DEFINES AN OPERATOR ON L2 FOR LIPSCHITZ-CURVES [J].
COIFMAN, RR ;
MCINTOSH, A ;
MEYER, Y .
ANNALS OF MATHEMATICS, 1982, 116 (02) :361-387
[5]  
Courant R, 1962, METHODS MATH PHYS, V2, P258
[6]   ON THE POISSON INTEGRAL FOR LIPSCHITZ AND C1-DOMAINS [J].
DAHLBERG, BEJ .
STUDIA MATHEMATICA, 1979, 66 (01) :13-24
[7]  
DAHLBERG BEJ, 1977, ARCH RATION MECH AN, V65, P276
[8]   WEIGHTED NORM INEQUALITIES FOR THE LUSIN AREA INTEGRAL AND THE NONTANGENTIAL MAXIMAL FUNCTIONS FOR FUNCTIONS HARMONIC IN A LIPSCHITZ DOMAIN [J].
DAHLBERG, BEJ .
STUDIA MATHEMATICA, 1980, 67 (03) :297-314
[9]   POTENTIAL TECHNIQUES FOR BOUNDARY-VALUE PROBLEMS ON C1-DOMAINS [J].
FABES, EB ;
JODEIT, M ;
RIVIERE, NM .
ACTA MATHEMATICA, 1978, 141 (3-4) :165-186
[10]   DOUBLE-LAYER POTENTIALS FOR DOMAINS WITH CORNERS AND EDGES [J].
FABES, EB ;
JODEIT, M ;
LEWIS, JE .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1977, 26 (01) :95-114
123