Nonsymmetric systems on nonsmooth planar domains

被引：22

作者：

Verchota, GC ^{[1
]}

Vogel, AL ^{[1
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 11期

关键词：

elliptic; bianalytic; weak maximum principle; Rellich identity; boundary value problems; nonvariational;

D O I：

10.1090/S0002-9947-97-02047-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study boundary value problems, in the sense of Dahlberg, for second order constant coefficient strongly elliptic systems. In this class are systems without a variational formulation, via. the nonsymmetric systems. Various similarities and differences between this subclass and the symmetrizable systems are examined in nonsmooth domains.

引用

页码：4501 / 4535

页数：35

共 35 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) : 35 - &
[2] Begehr H, 1993, PITMAN MONOGRAPHS SU, V2
[3] Bitsadze A. V., 1948, USP MAT NAUK, V3, P211
[4] CAUCHY INTEGRALS ON LIPSCHITZ CURVES AND RELATED OPERATORS
CALDERON, AP
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1977, 74 (04) : 1324 - 1327
[5] THE CAUCHY INTEGRAL DEFINES AN OPERATOR ON L2 FOR LIPSCHITZ-CURVES
COIFMAN, RR
MCINTOSH, A
MEYER, Y
[J]. ANNALS OF MATHEMATICS, 1982, 116 (02) : 361 - 387
[6] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS
COIFMAN, RR
WEISS, G
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) : 569 - 645
[7] CONSTRUCTION OF CORNER SINGULARITIES FOR AGMON-DOUGLIS-NIRENBERG ELLIPTIC-SYSTEMS
COSTABEL, M
DAUGE, M
[J]. MATHEMATISCHE NACHRICHTEN, 1993, 162 : 209 - 237
[8] Dahlberg B., 1990, LECTURE NOTES PURE A, V122, P621
[9] THE DIRICHLET PROBLEM FOR THE BIHARMONIC EQUATION IN A LIPSCHITZ DOMAIN
DAHLBERG, BEJ
KENIG, CE
VERCHOTA, GC
[J]. ANNALES DE L INSTITUT FOURIER, 1986, 36 (03) : 109 - 135
[10] BOUNDARY-VALUE PROBLEMS FOR THE SYSTEMS OF ELASTOSTATICS IN LIPSCHITZ-DOMAINS
DAHLBERG, BEJ
KENIG, CE
VERCHOTA, GC
[J]. DUKE MATHEMATICAL JOURNAL, 1988, 57 (03) : 795 - 818

← 1 2 3 4 →