On the Solution of Some Non-Local Problems

被引：0
|
作者：
F. Criado
F. Criado
N. Odishelidze
机构：
[1] Málaga University,Department of Mathematics
[2] Málaga University,Department of Applied Physics
[3] Tbilisi State University,Department of Applied Mathematics and Computer Science
来源：
Czechoslovak Mathematical Journal | 2004年 / 54卷
关键词：
non-local problem; Poisson equation; discrete Fourier transform;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with two types of non-local problems for the Poisson equation in the disc. The first of them deals with the situation when the function value on the circle is given as a combination of unknown function values in the disc. The other type deals with the situation when a combination of the value of the function and its derivative by radius on the circle are given as a combination of unknown function values in the disc. The existence and uniqueness of the classical solution of these problems is proved. The solutions are constructed in an explicit form.
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页码：487 / 498
页数：11
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