Three-Dimensional Analog of the Cauchy Type Integral

被引：3
|
作者：
Polunin, V. A. [1 ]
Soldatov, A. P. [1 ]
机构：
[1] Belgorod State Univ, Belgorod, Russia
来源：
DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 03期
基金：
俄罗斯基础研究基金会; 中国国家自然科学基金;
关键词：
Tangent Plane; Lipschitz Condition; Jacobi Matrice; Singular Operator; Cauchy Type;
D O I：
10.1134/S0012266111030074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On a smooth closed surface, we consider integrals of the Cauchy type with kernel depending on the difference of arguments. They cover both double-layer potentials for second-order elliptic equations and generalized integrals of the Cauchy type for first-order elliptic systems. For the functions described by such integrals, we find sufficient conditions providing their continuity up to the boundary surface. We obtain the corresponding formulas for their limit values.
引用
收藏
页码：363 / 372
页数：10
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