On the solvability of a complete two-dimensional hypersingular integral equation

被引:1
|
作者
Setukha, A. V. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
关键词
Integral Operator; Function Class; Neumann Boundary; Continuous Operator; Homogeneous Equation;
D O I
10.1134/S001226611309005X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the solvability of a complete two-dimensional linear hypersingular integral equation that contains a hypersingular integral operator in which the integral is understood in the sense of Hadamard finite value as well as an integral operator in which the integral is understood in the sense of principal value, an integral operator with a weakly singular kernel, and an integral-free term. We consider smooth solutions in the class of functions that have Holder continuous derivatives outside a neighborhood of the boundary. We prove the Fredholm alternative and estimate the norm of the solution in a special metric.
引用
收藏
页码:1103 / 1113
页数:11
相关论文
共 50 条