1. On the solution of some non-local problems
- Creator:
- Criado, F., Criado, Jr., F., and Odishelidze, N.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- non-local problem, Poisson equation, and discrete Fourier transform
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public