THE DIRICHLET PROBLEM FOR THE POLYHARMONIC EQUATION IN LIPSCHITZ-DOMAINS

被引:43
作者
VERCHOTA, G
机构
关键词
D O I
10.1512/iumj.1990.39.39034
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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页码:671 / 702
页数:32
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[2]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[3]  
AGMON S, 1965, LECTURES ELLIPTIC BO
[4]   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
[5]  
CALDERON AP, 1985, RECENT PROGR FOURIER
[6]  
COHEN J, 1985, ARK MAT, V23, P216
[7]   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
[8]   THE DIRICHLET PROBLEM FOR THE BIHARMONIC EQUATION IN A LIPSCHITZ DOMAIN [J].
DAHLBERG, BEJ ;
KENIG, CE ;
VERCHOTA, GC .
ANNALES DE L INSTITUT FOURIER, 1986, 36 (03) :109-135
[9]   ON THE POISSON INTEGRAL FOR LIPSCHITZ AND C1-DOMAINS [J].
DAHLBERG, BEJ .
STUDIA MATHEMATICA, 1979, 66 (01) :13-24
[10]   HARDY-SPACES AND THE NEUMANN PROBLEM IN L-RHO FOR LAPLACES-EQUATION IN LIPSCHITZ-DOMAINS [J].
DAHLBERG, BEJ ;
KENIG, CE .
ANNALS OF MATHEMATICS, 1987, 125 (03) :437-465