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
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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.
@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},
publisher = {mathdoc},
volume = {23},
number = {2},
year = {1983},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a9/ %G ru %F ZVMMF_1983_23_2_a9
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/