Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2228-2234
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A. N. Bogolyubov; M. D. Malykh; Yu. V. Mukhartova. Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2228-2234. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a10/
@article{ZVMMF_2006_46_12_a10,
author = {A. N. Bogolyubov and M. D. Malykh and Yu. V. Mukhartova},
title = {Solution to the boundary value problem for an arbitrary elliptic operator subject to a~radiation condition},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2228--2234},
year = {2006},
volume = {46},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a10/}
}
TY - JOUR
AU - A. N. Bogolyubov
AU - M. D. Malykh
AU - Yu. V. Mukhartova
TI - Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 2228
EP - 2234
VL - 46
IS - 12
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a10/
LA - ru
ID - ZVMMF_2006_46_12_a10
ER -
%0 Journal Article
%A A. N. Bogolyubov
%A M. D. Malykh
%A Yu. V. Mukhartova
%T Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 2228-2234
%V 46
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a10/
%G ru
%F ZVMMF_2006_46_12_a10
It is shown that the generalized Fourier transform can be extended to an arbitrary elliptic operator in a cylindrical domain with a Robin boundary condition. In this case, the existence of the Fourier image is a completely correct radiation condition determining a solution to the problem that is a superposition of waves traveling away from the source.
