Asymptotics of the solution of Laplace's equation with mixed boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1064-1080
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A uniform asymptotic expansion of the solution of a two-dimensional elliptic problem with mixed boundary conditions is found. A physical application of the result is discussed.
@article{ZVMMF_2011_51_6_a8,
author = {A. A. Ershov},
title = {Asymptotics of the solution of {Laplace's} equation with mixed boundary conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1064--1080},
publisher = {mathdoc},
volume = {51},
number = {6},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a8/}
}
TY - JOUR AU - A. A. Ershov TI - Asymptotics of the solution of Laplace's equation with mixed boundary conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1064 EP - 1080 VL - 51 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a8/ LA - ru ID - ZVMMF_2011_51_6_a8 ER -
%0 Journal Article %A A. A. Ershov %T Asymptotics of the solution of Laplace's equation with mixed boundary conditions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 1064-1080 %V 51 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a8/ %G ru %F ZVMMF_2011_51_6_a8
A. A. Ershov. Asymptotics of the solution of Laplace's equation with mixed boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1064-1080. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a8/