On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals

被引：14
|
作者：
Pedas, Arvet [1 ]
Vainikko, Gennadi [1 ]
机构：
[1] Univ Tartu, Inst Appl Math, EE-50409 Tartu, Estonia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 229卷 / 02期
关键词：
Fredholm integral equation; Weakly singular kernel; Boundary singularities; Smoothness of the solution; Compact operators; HAMMERSTEIN EQUATIONS; VOLTERRA-EQUATIONS; COLLOCATION;
D O I：
10.1016/j.cam.2008.04.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The behaviour of a solution to a Fredholm integral equation of the second kind on a union of open intervals is examined. The kernel of the corresponding integral operator may have diagonal 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. (C) 2008 Elsevier B.V. All rights reserved.
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页码：440 / 451
页数：12
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