The Maxwell system in waveguides with several cylindrical outlets to infinity and non-homogeneous anisotropic filling
Algebra i analiz, Tome 29 (2017) no. 2, pp. 89-126.

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B. A. Plamenevskiǐ; A. S. Poretskiǐ. The Maxwell system in waveguides with several cylindrical outlets to infinity and non-homogeneous anisotropic filling. Algebra i analiz, Tome 29 (2017) no. 2, pp. 89-126. http://geodesic.mathdoc.fr/item/AA_2017_29_2_a3/

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

[2] Plamenevskii B., “On spectral properties of problems in domains with cylindrical ends”, Amer. Math. Soc. Transl. Ser. 2, Adv. Math. Sci., 220, Amer. Mat. Soc., Providence, RI, 2007, 123–139 | MR | Zbl

[3] Ohmura T., “A new formulation on the electromagnetic field”, Prog. Theor. Phys., 16 (1956), 684–685 | DOI | MR | Zbl

[4] Gudovich I. S., Krein S. G., Kraevye zadachi dlya pereopredelennykh sistem uravnenii v chastnykh proizvodnykh, Diff. uravneniya i ikh prim., Tr. semin., 9, In-t fiz. i mat. AN LitSSR, Vilnyus, 1974

[5] Birman M. Sh., Solomyak M. Z., “Samosopryazhennyi operator Maksvella v proizvolnykh oblastyakh”, Algebra i analiz, 1:1 (1989), 96–110 | MR | 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., Trostorff S., Waurick M., “On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravitoelectromagnetism”, Math. Methods Appl. Sci., 40:2 (2017), 415-434, First published: 22 December 2014 | DOI | MR | Zbl

[8] Plamenevskii B. A., Poretskii A. S., “O sisteme Maksvella v volnovodakh s neskolkimi tsilindricheskimi vykhodami na beskonechnost”, Algebra i analiz, 25:1 (2013), 94–155 | MR | Zbl

[9] Vainshtein L. A., Teoriya difraktsii i metod faktorizatsii, Sov. Radio, M., 1966

[10] Nefedov E. I., Fialkovskii A. T., Asimptoticheskaya teoriya difraktsii elektromagnitnykh voln na konechnykh strukturakh, Nauka, M., 1972

[11] Mittra R., Li S., Analiticheskie metody v teorii volnovodov, Mir, M., 1974

[12] Ilinskii A. S., Kravtsov V. V., Sveshnikov A. G., Matematicheskie modeli elektrodinamiki, Uch. posob., Vyssh. shk., M., 1991

[13] Galishnikova T. N., Ilinskii A. S., Metod integralnykh uravnenii v zadachakh difraktsii voln, MAKS Press, M., 2013

[14] Bogolyubov A. N., Delitsyn A. L., Sveshnikov A. G., “O zadache vozbuzhdeniya volnovoda s neodnorodnym zapolneniem”, Zh. vychisl. mat. i mat. fiz., 39:11 (1999), 1869–1888 | MR | Zbl

[15] Bogolyubov A. N., Delitsyn A. L., Sveshnikov A. G., “Ob usloviyakh razreshimosti zadachi vozbuzhdeniya radiovolnovoda”, Dokl. AN SSSR, 370:4 (2000), 453–456 | MR | Zbl

[16] Delitsyn A. L., “O postanovke kraevykh zadach dlya sistemy uravnenii Maksvella v tsilindre i ikh razreshimosti”, Izv. RAN. Ser. mat., 71:3 (2007), 61–112 | DOI | MR | Zbl

[17] Krasnushkin P. E., Moiseev E. I., “O vozbuzhdenii vynuzhdennykh kolebanii v sloistom radiovolnovode”, Dokl. AN SSSR, 264:5 (1982), 1123–1127 | MR

[18] 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

[19] Colton D., Kress R., Inverse acoustic and electromagnetic scattering theory, Appl. Nath. Sci., 93, 3nd ed., Springer-Verlag, New York, 2013 | DOI | MR | Zbl

[20] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | MR