Geodesic
The Maxwell operator with periodic coefficients in a~cylinder
Algebra i analiz, Tome 29 (2017) no. 6, pp. 182-196.

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

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A. O. Prokhorov; N. D. Filonov. The Maxwell operator with periodic coefficients in a~cylinder. Algebra i analiz, Tome 29 (2017) no. 6, pp. 182-196. http://geodesic.mathdoc.fr/item/AA_2017_29_6_a5/

[1] Birman M. Sh., Solomyak M. Z., “Samosopryazhennyi operator Maksvella v proizvolnykh oblastyakh”, Algebra i analiz, 1:1 (1989), 96–110 | MR | Zbl

[2] Demchenko M. N., “O needinstvennosti prodolzheniya resheniya sistemy Maksvella”, Zap. nauch. semin. POMI, 393, 2011, 80–100 | MR

[3] Filonov N., Klopp F., “Absolutely continuous spectrum for the isotropic Maxwell operator with coefficients that are periodic in some directions and decay in others”, Comm. Math. Phys., 258 (2005), 75–85 | DOI | MR | Zbl

[4] Prokhorov A., Filonov N., “Regulyarnost elektromagnitnykh polei v vypuklykh oblastyakh”, Zap. nauch. semin. POMI, 425, 2014, 55–85

[5] Filonov N., Sobolev A. V., “Absence of the singular continuous component in the spectrum of analytic direct integrals”, Zap. Nauch. Sem. S.-Peterburg. Otdel. Math. Inst. Steklov. (POMI), 318, 2004, 298–307 | MR | Zbl

[6] Kachkovskii I., “Otsutstvie sobstvennykh znachenii u periodicheskogo operatora Shredingera s singulyarnym potentsialom v pryamougolnom tsilindre”, Funkts. anal. i ego pril., 47:2 (2013), 27–37 | DOI | MR

[7] Kachkovskii I. V., Otsutstvie sobstvennykh znachenii v spektre nekotorykh operatorov Shredingera s periodicheskimi koeffitsientami, Kand. diss., POMI RAN, Spb., 2013

[8] Kuchment P., Floquet theory for partial differential equations, Oper. Theory Adv. Appl., 60, Birkhauser Verlag, Basel, 1993 | MR | Zbl

[9] Morame A., “The absolute continuity of the spectrum of Maxwell operator in a periodic media”, J. Math. Phys., 41:10 (2000), 7099–7108 | DOI | MR | Zbl

[10] Suslina T. A., “Absolyutnaya nepreryvnost spektra periodicheskogo operatora Maksvella v sloe”, Zap. nauch. semin. POMI, 288, 2002, 232–255 | MR | Zbl