Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 20 (1982), pp. 3-36
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V. I. Vlasov; A. P. Prudnikov. Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 20 (1982), pp. 3-36. http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/
@article{INTD_1982_20_a0,
author = {V. I. Vlasov and A. P. Prudnikov},
title = {Asymptotic behavior of the solutions of some boundary value problems for the {Laplace} equation in the case of deformation of the domain},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--36},
year = {1982},
volume = {20},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/}
}
TY - JOUR
AU - V. I. Vlasov
AU - A. P. Prudnikov
TI - Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1982
SP - 3
EP - 36
VL - 20
UR - http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/
LA - ru
ID - INTD_1982_20_a0
ER -
%0 Journal Article
%A V. I. Vlasov
%A A. P. Prudnikov
%T Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1982
%P 3-36
%V 20
%U http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/
%G ru
%F INTD_1982_20_a0
We consider boundary-value problems for the Laplace equation in the plane and in certain classes of simply connected domains with boundaries constructed in a complicated way; we find the asymptotic behavior of the solutions of these problems when the deformation parameter of the domain tends to zero.
