Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2253-2259
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A representation of the solution to an elliptic boundary value problem in the vicinity of a corner point on the discontinuity line of the coefficient of the higher order derivative is constructed. The study is based on the method of additive separation of singularities proposed by Kondrat’ev.
@article{ZVMMF_2011_51_12_a9,
author = {A. N. Bogolyubov and I. E. Mogilevskii},
title = {Behavior of solutions to elliptic boundary value problems in a~neighborhood of corner points of discontinuity lines of the coefficients},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2253--2259},
publisher = {mathdoc},
volume = {51},
number = {12},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a9/}
}
TY - JOUR AU - A. N. Bogolyubov AU - I. E. Mogilevskii TI - Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 2253 EP - 2259 VL - 51 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a9/ LA - ru ID - ZVMMF_2011_51_12_a9 ER -
%0 Journal Article %A A. N. Bogolyubov %A I. E. Mogilevskii %T Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 2253-2259 %V 51 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a9/ %G ru %F ZVMMF_2011_51_12_a9
A. N. Bogolyubov; I. E. Mogilevskii. Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2253-2259. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a9/