NOETHER'S THEORY OF SOME TWO-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH CONTINUOUS COEFFICIENTS AND APPLICATIONS

被引：0

作者：

Lu, Su-Kui ^{[1
]}

Li, Zi-Zhi ^{[1
]}

Wang, Si-Le ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS | 2011年

关键词：

Singular integral operator; Noether's condition; index; boundary value problem;

D O I：

10.1142/9789814327862_0030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concerning Noether's theory of some two-dimensional singular integral operator with continuous coefficients, K. Ch. Boimatov and G. Dzangibekov carried.out a series of further effective research and then gave the complete effective Noether's condition and index calculation formula. Besides, with the relevant results, we give the representation of solutions and the index formula of the non-homogeneous Dirichlet problem and non-homogeneous Neumann problem for general elliptic systems of second order equations.

引用

页码：300 / 308

页数：9

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