@article{AA_2016_28_4_a4,
author = {D. V. Korikov and B. A. Plamenevskiǐ},
title = {Asymptotics of solutions for stationary and nonstationary {Maxwell} systems in a~domain with small holes},
journal = {Algebra i analiz},
pages = {102--170},
year = {2016},
volume = {28},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2016_28_4_a4/}
}
TY - JOUR AU - D. V. Korikov AU - B. A. Plamenevskiǐ TI - Asymptotics of solutions for stationary and nonstationary Maxwell systems in a domain with small holes JO - Algebra i analiz PY - 2016 SP - 102 EP - 170 VL - 28 IS - 4 UR - http://geodesic.mathdoc.fr/item/AA_2016_28_4_a4/ LA - ru ID - AA_2016_28_4_a4 ER -
D. V. Korikov; B. A. Plamenevskiǐ. Asymptotics of solutions for stationary and nonstationary Maxwell systems in a domain with small holes. Algebra i analiz, Tome 28 (2016) no. 4, pp. 102-170. http://geodesic.mathdoc.fr/item/AA_2016_28_4_a4/
[1] Maz'ya V. G., Nazarov S. A., Plamenevskii B. A., Asymptotic theory of elliptic boundary value problems in singularly perturbed domains, v. 1, Birkhäuser-Verlag, Basel, 2000 | MR | Zbl
[2] Gudovich I. S., Krein S. G., Kulikov I. M., “Kraevye zadachi dlya uravnenii Maksvella”, Dokl. AN SSSR, 207:2 (1972), 321–324 | MR
[3] Agranovich M. S., Vishik M. I., “Ellipticheskie zadachi s parametrom i parabolicheskie zadachi obschego vida”, Uspekhi mat. nauk, 19:3 (1964), 53–161 | MR | Zbl
[4] Plamenevskii B. A., “O zadache Dirikhle dlya volnovogo uravneniya v tsilindre s rebrami”, Algebra i analiz, 10:2 (1998), 197–228 | MR | Zbl
[5] Kokotov A. Yu., Plamenevskii B. A., “Ob asimptotike reshenii zadachi Neimana dlya giperbolicheskikh sistem v oblastyakh s konicheskimi tochkami”, Algebra i analiz, 16:3 (2004), 56–98 | MR | Zbl
[6] Matyukevich S. I., “O nestatsionarnoi sisteme Maksvella v oblastyakh s rebrami”, Algebra i analiz, 15:6 (2003), 86–140 | MR | Zbl
[7] Matyukevich S. I., Plamenevskii B. A., “O dinamicheskikh zadachakh teorii uprugosti v oblastyakh s rebrami”, Algebra i analiz, 18:3 (2006), 158–233 | MR | Zbl
[8] Korikov D. V., “Asimptotika reshenii volnovogo uravneniya v oblasti s malym otverstiem”, Algebra i analiz, 26:5 (2014), 164–199 | MR
[9] Birman M. Sh., Solomyak M. Z., “$L_2$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, Uspekhi mat. nauk, 42:6 (1987), 61–76 | MR | Zbl
[10] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971
[11] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991
[12] Khardi G. G., Littlvud Dzh. E., Polia G., Neravenstva, IL, M., 1948