On the solution of some non-local problems
F. Criado; Jr. Criado, F.; N. Odishelidze
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 2, page 487-498
- ISSN: 0011-4642
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topCriado, F., Criado, F., Jr., and Odishelidze, N.. "On the solution of some non-local problems." Czechoslovak Mathematical Journal 54.2 (2004): 487-498. <http://eudml.org/doc/30877>.
@article{Criado2004,
abstract = {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.},
author = {Criado, F., Criado, F., Jr., Odishelidze, N.},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-local problem; Poisson equation; discrete Fourier transform; nonlocal problem; Poisson equation; discrete Fourier transform},
language = {eng},
number = {2},
pages = {487-498},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the solution of some non-local problems},
url = {http://eudml.org/doc/30877},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Criado, F.
AU - Criado, F., Jr.
AU - Odishelidze, N.
TI - On the solution of some non-local problems
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 487
EP - 498
AB - 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.
LA - eng
KW - non-local problem; Poisson equation; discrete Fourier transform; nonlocal problem; Poisson equation; discrete Fourier transform
UR - http://eudml.org/doc/30877
ER -
References
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