@article{ZVMMF_2013_53_11_a1,
author = {S. R. Garifullina and E. Yu. Postnikova},
title = {Asymptotics of the solution of {Laplace{\textquoteright}s} equation with third-type boundary conditions on the boundaries of two small holes},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1768--1783},
year = {2013},
volume = {53},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a1/}
}
TY - JOUR AU - S. R. Garifullina AU - E. Yu. Postnikova TI - Asymptotics of the solution of Laplace’s equation with third-type boundary conditions on the boundaries of two small holes JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 1768 EP - 1783 VL - 53 IS - 11 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a1/ LA - ru ID - ZVMMF_2013_53_11_a1 ER -
%0 Journal Article %A S. R. Garifullina %A E. Yu. Postnikova %T Asymptotics of the solution of Laplace’s equation with third-type boundary conditions on the boundaries of two small holes %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2013 %P 1768-1783 %V 53 %N 11 %U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a1/ %G ru %F ZVMMF_2013_53_11_a1
S. R. Garifullina; E. Yu. Postnikova. Asymptotics of the solution of Laplace’s equation with third-type boundary conditions on the boundaries of two small holes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 11, pp. 1768-1783. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a1/
[1] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR
[2] Ilin A. M., “Kraevaya zadacha dlya ellipticheskogo uravneniya vtorogo poryadka v oblasti s uzkoi schelyu. 2: Oblast s malym otverstiem”, Matem. sb., 103:2 (1977), 265–284 | MR | Zbl
[3] Mazya V. G., Nazarov S. A., Plamenevskii B. A., “Asimptoticheskie razlozheniya sobstvennykh chisel kraevykh zadach dlya operatora Laplasa v oblastyakh s malymi otverstiyami”, Izvestiya AN, ser. matematicheskaya, 48:2 (1984), 347–371 | MR
[4] Maz'ya S., Nazarov S., Plamenevskij B., Asymptotic theory of Elliptic boundary value problems in singularly perturbed domains, Ch. 9, v. 1, Operator Theory, Advances and Applications, 111, Basel-Boston-Berlin, 2000 | MR
[5] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR
[6] Postnikova E. Yu., “Asimptotika kraevoi zadachi v oblasti s dvumya otverstiyami”, Vestnik Chelyabinskii GU, 2011, no. 26, 49–58
[7] Garifullina S. R., Matematicheskoe modelirovanie i chislennoe issledovanie elektricheskikh polei protyazhennykh elektrodov v poluogranichennom prostranstve, Dis. ... kand. fiz.-matem. nauk, Ufim. gos. aviats.-tekhn. un-t, Ufa, 2011