Integral equations with diagonal and boundary singularities of the kernel

被引：0

作者：

Pedas, Arvet ^{[1
]}

Vainikko, Gennadi ^{[1
]}

机构：

[1] Univ Tartu, Inst Appl Math, EE-50090 Tartu, Estonia

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2006年 / 25卷 / 04期

关键词：

Fredholm integral equation; Volterra integral equation; weakly singular integral equation; boundary singularities; smoothness of the solution; compact operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the smoothness and the singularities of the solution to Fredholm and Volterra integral equations of the second kind on a bounded interval. The kernel of the integral operator may have diagonal and boundary singularities, information about them is given through certain estimates. The weighted spaces of smooth functions with boundary singularities containing the solution of the integral equation are described. Examples show that the results cannot be improved.

引用

页码：487 / 516

页数：30

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