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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/