@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},
year = {2011},
volume = {51},
number = {12},
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 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 %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/
[1] Birman M. Sh., Solomyak M. Z., “$L_2$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, Uspekhi matem. nauk, 42:6 (1987), 61–76 | MR | Zbl
[2] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991
[3] Kondratev V. A., Oleinik O. A., “Kraevye zadachi dlya uravnenii s chastnymi proizvodnymi v negladkikh oblastyakh”, Uspekhi matem. nauk, 38:2 (1983), 3–76 | MR
[4] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., “O matematicheskom obosnovanii variatsionno-raznostnogo podkhoda k chislennomu modelirovaniyu volnoveduschikh sistem”, Vestn. MGU. Ser. 3. Fiz., astron., 1998, no. 5, 14 | MR
[5] Ilin V. A., “O vozbuzhdenii neidealnykh radiovolnovodov”, Dokl. AN SSSR, 98:6 (1954), 925–928 | MR
[6] Kondpatev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tp. Mosk. matem. ob-va, 16, 1967, 227–313
[7] Kondratev V. A., “Osobennosti resheniya zadachi Dirikhle dlya ellipticheskikh uravnenii vtorogo poryadka v okrestnosti rebra”, Differents. ur-niya, 13:11 (1977), 2026–2032 | MR
[8] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., Sveshnikov A. G., “Problema vychisleniya volnovodnykh mod pri nalichii vkhodyaschikh reber”, Zh. radioelektroniki (elektronnyi zhurnal), 2001, 8 ; http://www.jre.cplire.ru | Zbl
[9] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., Sveshnikov A. G., “Osobennosti normalnykh voln neodnorodnogo volnovoda s vkhodyaschimi rebrami”, Radiotekhn. i elektronika, 48:7 (2003), 1–8 | MR
[10] Grinberg G. A., Izbrannye voprosy matematicheskoi teorii elektricheskikh i magnitnykh yavlenii, Izd-vo AN SSSR, M., 1948 | Zbl
[11] Vladimirov V. S., Zharinov V. V., Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2003 | Zbl
[12] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Fizmatlit, M., 2004 | Zbl