Integral Equations with Diagonal and Boundary Singularities of the Kernel
Integral Equations with Diagonal and Boundary Singularities of the Kernel
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DOI：
10.4171/zaa/1304
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发表时间：
2006-12
影响因子：
1.2
通讯作者：
A. Pedas;G. Vainikko
中科院分区：
文献类型：
--
作者：
A. Pedas;G. Vainikko
我们研究有界区间上第二类 Fredholm 和 Volterra 积分方程解的光滑性和奇异性。积分算子的核可能具有对角奇点和边界奇点，有关它们的信息通过某些估计给出。描述了包含积分方程解的具有边界奇点的光滑函数的加权空间。实例表明结果无法改善。
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.