@article{SM_1984_49_1_a1,
author = {A. L. Piatnitski},
title = {Averaging a~singularly perturbed equation with rapidly oscillating coefficients in a~layer},
journal = {Sbornik. Mathematics},
pages = {19--40},
year = {1984},
volume = {49},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_49_1_a1/}
}
A. L. Piatnitski. Averaging a singularly perturbed equation with rapidly oscillating coefficients in a layer. Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 19-40. http://geodesic.mathdoc.fr/item/SM_1984_49_1_a1/
[1] Landis E. M., Panasenko G. P., “O povedenii resheniya ellipticheskogo uravneniya s koeffitsientami, periodicheskimi po vsem peremennym, krome odnoi”, DAN SSSR, 235:6 (1977), 1253–1255 | MR | Zbl
[2] Oleinik O. A., Iosifyan G. A., “O povedenii na beskonechnosti reshenii ellipticheskikh uravnenii vtorogo poryadka v oblastyakh s nekompaktnoi granitsei”, Matem. sb., 112 (154) (1980), 588–610 | MR | Zbl
[3] Vishik M. I., Lyusternik L. A., “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, UMN, XII:5 (1957), 3–122 | MR
[4] Venttsel A. D., Freidlin M. I., “O malykh sluchainykh vozmuscheniyakh dinamicheskikh sistem”, UMN, XXV:1 (1970), 3–55
[5] Panasenko G. P., “Asimptotiki vysshikh poryadkov reshenii zadach o kontakte periodicheskikh struktur”, Matem. sb., 110 (152) (1979), 505–538 | MR | Zbl
[6] Bensoussan A., Lions J.-L., Papanikolaou G., Asimptotic analisis for periodic structures, North-Holland Publ. Comp., 1978
[7] Venttsel A. D., Kurs teorii sluchainykh protsessov, Nauka, M., 1975 | MR
[8] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR
[9] Stampaccia G., “Le probleme de Dirichlet pour les equations elliptiques du second ordre a coefficients discontinues”, Ann. Inst. Fourier. Grenoble, 15:1 (1965), 189–258 | MR
[10] Bakhvalov N. S., “Osrednenie uravnenii s chastnymi proizvodnymi s bystro ostsilliruyuschimi koeffitsientami”, DAN SSSR, 221:3 (1975), 516–519 | MR | Zbl
[11] Gikhman I. I., Skorokhod A. V., Vvedenie v teoriyu sluchainykh protsessov, Nauka, M., 1977 | MR