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
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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.
@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
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/