Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 333-346
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V. G. Maz'ya; S. A. Nazarov; B. A. Plamenevskii. Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 333-346. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a9/
@article{ZVMMF_1983_23_2_a9,
author = {V. G. Maz'ya and S. A. Nazarov and B. A. Plamenevskii},
title = {Calculation of the asymptotics of {\textquotedblleft}coefficients of intensity{\textquotedblright} in the coming together of corner or conic points},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {333--346},
year = {1983},
volume = {23},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a9/}
}
TY - JOUR
AU - V. G. Maz'ya
AU - S. A. Nazarov
AU - B. A. Plamenevskii
TI - Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 333
EP - 346
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a9/
LA - ru
ID - ZVMMF_1983_23_2_a9
ER -
%0 Journal Article
%A V. G. Maz'ya
%A S. A. Nazarov
%A B. A. Plamenevskii
%T Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 333-346
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a9/
%G ru
%F ZVMMF_1983_23_2_a9
Boundary value problems are considered in domains with conical or corner points, located with small specing $\varepsilon$. Taking the example of Dirichlet or Neurmann problems, and problems on plate flexure, applications are given for an algorithm for finding the asymptotic behavior as $\varepsilon\to0$ of the coefficients in the asymptotic forms of the solutions close to the vertices of cones.
