On a class of two-dimensional singular integral operators and its applications to boundary value problems for elliptic systems of equations in the plane

被引：0

作者：

Jangibekov, G ^{[1
]}

机构：

[1] Khorog State Univ, Khorog, Tajikistan

来源：

PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2 | 2000年 / 7卷

关键词：

Bergman kernel; weighted Lebesgue spaces; Fredholm property; index; second order elliptic systems; homotopy classification; Laplace and Bitsadze operators; Dirichtlet and Neumann boundary value; problems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For general elliptic systems of diffential equations of second order with t wo functions of two variables a homotopy classification is given and effective necessary and sufficient conditions for the Fredholm property obtainded along with a formula for computing the index of the Dirichlet problem and the Neumann problem.

引用

页码：1421 / 1430

页数：10

共 50 条

[1] On some two-dimensional singular integral operators and their applications to elliptic systems of differential equations with singular coefficients
L. G. Mikhailov
G. Dzhangibekov
D. Odinabekov
Doklady Mathematics, 2006, 74 : 577 - 581
[2] On some two-dimensional singular integral operators and their applications to elliptic systems of differential equations with singular coefficients
Mikhailov, L. G.
Dzhangibekov, G.
Odinabekov, D.
DOKLADY MATHEMATICS, 2006, 74 (01) : 577 - 581
[3] ON A CLASS OF 2-DIMENSIONAL SINGULAR INTEGRAL-OPERATORS AND APPLICATIONS TO THE BOUNDARY-PROBLEMS FOR ELLIPTIC-SYSTEMS IN THE PLANE
DZHANGIBEKOV, G
DOKLADY AKADEMII NAUK, 1993, 330 (04) : 415 - 419
[4] On a class of two-dimensional singular elliptic problems
Caldiroli, P
Musina, R
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2001, 131 : 479 - 497
[5] TWO-DIMENSIONAL NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR ELLIPTIC-EQUATIONS
LIEBERMAN, GM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 300 (01) : 287 - 295
[6] BOUNDARY VALUE PROBLEMS FOR SINGULAR ELLIPTIC EQUATIONS
Nguyen Hoang Loc
Schmitt, Klaus
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (02) : 555 - 572
[7] Singular integral operators method for two-dimensional plasticity problems
Ladopoulos, E.G., 1600, (33):
[8] Singular Integral Operators and Elliptic Boundary-Value Problems. Part I
Soldatov A.P.
Journal of Mathematical Sciences, 2020, 245 (6) : 695 - 891
[9] Singular integral equations in two-dimensional problems of the theory of cracks
Savruk, MP
MATERIALS SCIENCE, 2001, 37 (03) : 392 - 402
[10] Singular Integral Equations in Two-Dimensional Problems of the Theory of Cracks
M. P. Savruk
Materials Science, 2001, 37 : 392 - 402

← 1 2 3 4 5 →