ON L2-SOLVABILITY OF MIXED BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS IN PLANE NONSMOOTH DOMAINS

被引：3

作者：

BANASIAK, J

机构：

[1] Institute of Mathematics, Technical University of Łódź, Łódź

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1992年 / 97卷 / 01期

关键词：

D O I：

10.1016/0022-0396(92)90085-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to an L2-solvability of mixed boundary value problems (MBVPs) for second order elliptic equations in plane domains with curvilinear polygons as its boundaries. We find a space T′ such that the MBVP with data in L2(Ω) × T′ is solvable in L2(Ω) and calculate the dimension of the kernel of this problem. Moreover we relate our approach to the previous one [P. Grisvard, "Elliptic Boundary Problems in Non-smooth Domains," Pitman, New York, 1985] showing how to overcome difficulties arising there. © 1992.

引用

页码：99 / 111

页数：13

共 50 条

[1] L2-SOLVABILITY OF BOUNDARY-VALUE-PROBLEMS FOR EQUATIONS OF MIXED TYPE
KAPUSTIN, NY
[J]. DIFFERENTIAL EQUATIONS, 1989, 25 (01) : 39 - 45
[2] ON MIXED BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS IN DOMAINS WITH CORNERS
ALHUMAIDAN, S
AZZAM, A
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1991, 16 (04): : 475 - 481
[3] MIXED BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS
AZZAM, A
KREYSZIG, E
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1981, 6 (02): : 133 - 137
[4] THE AVERAGING OF BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS IN PERFORATED DOMAINS
SUKRETNYI, VI
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1983, 38 (06) : 133 - 134
[5] SINGULAR BOUNDARY-VALUE-PROBLEMS FOR SOME ELLIPTIC-EQUATIONS IN DOMAINS WITH CORNERS
KATRAKHOV, VV
[J]. DOKLADY AKADEMII NAUK SSSR, 1991, 316 (05): : 1047 - 1050
[6] ON BOUNDARY-VALUE-PROBLEMS FOR NONLINEAR ELLIPTIC-EQUATIONS ON UNBOUNDED-DOMAINS
SIMON, L
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1987, 34 (1-2): : 75 - 81
[7] EXTERIOR BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS
SARANEN, J
WITSCH, KJ
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1983, 8 (01): : 3 - 42
[8] BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER ELLIPTIC-EQUATIONS IN DOMAINS WITH CORNERS
ESKIN, G
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1985, 43 : 105 - 131
[9] AVERAGING OF SOLUTIONS AND EIGENVALUES FOR BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS IN PERFORATED DOMAINS
SHAMAEV, AS
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1982, 37 (02) : 253 - 254
[10] BOUNDARY-VALUE-PROBLEMS WITH STRONG NONLOCALNESS FOR ELLIPTIC-EQUATIONS
ANTONEVICH, AB
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1989, 53 (01): : 1 - 21

← 1 2 3 4 5 →