@article{SM_1977_32_2_a3,
author = {A. M. Il'in},
title = {A~boundary value problem for the second order elliptic equation in a~domain with a~narrow slit. {2.~Domain} with a~small cavity},
journal = {Sbornik. Mathematics},
pages = {227--244},
year = {1977},
volume = {32},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1977_32_2_a3/}
}
TY - JOUR AU - A. M. Il'in TI - A boundary value problem for the second order elliptic equation in a domain with a narrow slit. 2. Domain with a small cavity JO - Sbornik. Mathematics PY - 1977 SP - 227 EP - 244 VL - 32 IS - 2 UR - http://geodesic.mathdoc.fr/item/SM_1977_32_2_a3/ LA - en ID - SM_1977_32_2_a3 ER -
A. M. Il'in. A boundary value problem for the second order elliptic equation in a domain with a narrow slit. 2. Domain with a small cavity. Sbornik. Mathematics, Tome 32 (1977) no. 2, pp. 227-244. http://geodesic.mathdoc.fr/item/SM_1977_32_2_a3/
[1] A. M. Ilin, “Kraevaya zadacha dlya ellipticheskogo uravneniya vtorogo poryadka v oblasti s uzkoi schelyu. 1: Dvumernyi sluchai”, Matem. sb., 99(141) (1976), 514–538
[2] M. Van-Daik, Metody vozmuschenii v mekhanike zhidkosti, izd-vo «Mir», Moskva, 1967
[3] I. Praudmen, Dzh. Pirson, “Razlozheniya po malym chislam Reinoldsa v zadachakh obtekaniya sfery i krugovogo tsilindra”, Mekhanika, 2:48 (1958), 3–28
[4] E. F. Mischenko, L. S. Pontryagin, “Ob odnoi statisticheskoi zadache optimalnogo upravleniya”, Izv. AN SSSR, seriya matem., 25 (1961), 477–498 | Zbl
[5] A. N. Kolmogorov, E. F. Mischenko, L. S. Pontryagin, “Ob odnoi veroyatnostnoi zadache optimalnogo upravleniya”, DAN SSSR, 145:5 (1962), 993–995 | MR | Zbl
[6] M. S. Nikolskii, “Odna zadacha s malym parametrom”, Diff. uravneniya, 5:5 (1969), 890–897 | MR
[7] H. K. Kuiken, “The Thick Free convective Boundary-layer Along a Semi-infinite Isotermal Vertical Cylinder”, ZAMP, 25:4 (1974), 433–452 | DOI
[8] J. Hadamard, “Recherches sur les solutions fondamentales et l'intégration des équations linéaires aux dérivéés partielles”, Ann. École Norm. Super, 21 (1904), 535–556 | MR
[9] S. L. Sobolev, Vvedenie v teoriyu kubaturnykh formul, izd-vo «Nauka», Moskva, 1975 | MR
[10] Dzh. Koul, Metody vozmuschenii v prikladnoi matematike, izd-vo «Mir», Moskva, 1972 | MR
[11] V. M. Babich, N. Ya. Kirpichnikova, Metod pogranichnogo sloya v zadachakh difraktsii korotkikh voln, izd-vo LGU, Leningrad, 1974 | MR