Geodesic
Asymptotics of Maxwell system eigenvalues in a domain with small cavities
Algebra i analiz, Tome 31 (2019) no. 1, pp. 18-71.

Voir la notice de l'article provenant de la source Math-Net.Ru

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     title = {Asymptotics of {Maxwell} system eigenvalues in a domain with small cavities},
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     volume = {31},
     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2019_31_1_a1/}
}
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D. V. Korikov. Asymptotics of Maxwell system eigenvalues in a domain with small cavities. Algebra i analiz, Tome 31 (2019) no. 1, pp. 18-71. http://geodesic.mathdoc.fr/item/AA_2019_31_1_a1/

[1] Mazya V. G., Nazarov S. A., Plamenevskii B. A., “Asimptoticheskie razlozheniya sobstvennykh chisel kraevykh zadach dlya operatora Laplasa v oblastyakh s malymi otverstiyami”, Izv. AN SSSR. Ser. mat., 48:2 (1984), 347–371

[2] Nazarov S. A., “Dvuchlennaya asimptotika reshenii spektralnykh zadach s singulyarnymi vozmuscheniyami”, Mat. sb., 181:3 (1990), 291–320

[3] Maz'ya V. G., Nazarov S. A., Plamenevskii B. A., Asymptotic theory of elliptic boundary value problems in singularly perturbed domains, v. 1, Oper. Theory Adv. Appl., 112, Birkhäuser, Basel, 2000 | MR | Zbl

[4] Gudovich I. S., Krein S. G., Kulikov I. M., “Kraevye zadachi dlya uravnenii Maksvella”, Dokl. AN SSSR, 207:2 (1972), 321–324 | Zbl

[5] Birman M. Sh., Solomyak M. Z., “$L_{2}$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, Uspekhi mat. nauk, 42:6 (1987), 61–76 | Zbl

[6] Picard R., “On the low frequency asymptotics in electromagnetic theory”, J. Reine Angew. Math., 354 (1984), 50–73 | MR | Zbl

[7] Picard R., “On a structural observation in generalized electromagnetic theory”, J. Math. Anal. Appl., 110:1 (1985), 247–264 | DOI | MR | Zbl

[8] Korikov D. V., Plamenevskii B. A., “Asimptotika reshenii statsionarnoi i nestatsionarnoi sistem Maksvella v oblasti s malymi otverstiyami”, Algebra i analiz, 28:4 (2016), 102–170

[9] Khardi G. G., Littlvud Dzh. E., Polia G., Neravenstva, IL, M., 1948

[10] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991

[11] Agranovich M. S., Sobolevskie prostranstva, ikh obobscheniya i ellipticheskie zadachi v oblastyakh s gladkoi i lipshitsevoi granitsei, MTsNMO, M., 2013