@article{ZVMMF_1997_37_12_a10,
author = {M. V. Urev},
title = {Boundary conditions for {Maxwell} equations with arbitrary time dependence},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1489--1497},
year = {1997},
volume = {37},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a10/}
}
TY - JOUR AU - M. V. Urev TI - Boundary conditions for Maxwell equations with arbitrary time dependence JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 1489 EP - 1497 VL - 37 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a10/ LA - ru ID - ZVMMF_1997_37_12_a10 ER -
M. V. Urev. Boundary conditions for Maxwell equations with arbitrary time dependence. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 12, pp. 1489-1497. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a10/
[1] Landau L. D., Lifshits E. M., Elektrodinamika sploshnykh sred, v. VIII, Nauka, M., 1981
[2] Kapitonov B. V., “Ob eksponentsialnom ubyvanii pri $t\to\infty$ reshenii vneshnei kraevoi zadachi dlya sistemy Maksvella”, Matem. sb., 180:4 (1989), 469–490
[3] Kapitonov B. V., “Teoremy edinstvennosti i tochnoe granichnoe upravlenie dlya evolyutsionnykh sistem”, Sibirskii matem. zh., 34:5 (1993), 67–84 | MR | Zbl
[4] Dzhekson Dzh., Klassicheskaya elektrodinamika, Mir, M., 1965
[5] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR
[6] Urev M. B., “Asimptoticheskoe reshenie uravnenii Maksvella v provodnike”, Vychisl. matem., 3, VTs SO RAN, Novosibirsk, 1995, 114–136
[7] Weitzner H., Lawson W. S., “Boundary conditions for the Darwin model”, Phys. Fluid. B, 1 (1989), 1953–1957 | DOI | MR
[8] Bykhovskii E. B., “Reshenie smeshannoi zadachi dlya sistemy uravneniya Maksvella v sluchae idealno provodyaschei granitsy”, Vestn. LGU, 1957, no. 13, 50–66
[9] Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Nauka, M., 1980 | MR
[10] Degond P., Raviart P. A., An analysis of the Darwin model of approximation to Maxwell's equations, Rept. Interne No 213, Centre de Math. Appliq., Ecole Polytechn. Palaiseau, 1990
[11] Tikhonov A. H., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl
[12] Budak B. M., Samarskii A. A., Tikhonov A. N., Sbornik zadach po matematicheskoi fizike, Nauka, M., 1972 | MR | Zbl
[13] Smirnov V. I., Kurs vysshei matematiki, v. IV, Nauka, M., 1974 | MR
[14] Bronshtein I. N., Semendyaev K. A., Spravochnik po matematike, Nauka, M., 1964
[15] Kisunko G. V., Elektrodinamika polykh sistem, Izd-vo Vysshei Krasnoznamennoi akademii svyazi, L., 1949
[16] Krein S. G., Kulikov I. M., “Ob operatore Maksvella–Leontovicha”, Differents. ur-niya, 5:7 (1969), 1275–1282 | MR | Zbl
[17] Urev M. V., “Maxwell's and Darwin's equations with impedance boundary conditions for arbitrary time dependence”, Abstracts Int. Conf. AMCA-95 (Novosibirsk, 1995), 329–330