Geodesic
A variational method for diffraction problems on domains with noncompact boundaries
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 2, pp. 277-288 
V. V. Lozhechko; Yu. V. Shestopalov. A variational method for diffraction problems on domains with noncompact boundaries. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 2, pp. 277-288. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Reichardt N., “Ausstralungs bedingungen für die wellengleichung”, Ann. Math. Semin. Univ. Hamburg., 24 (1960), 41–53 | DOI | MR | Zbl

[2] Sveshnikov A. G., “Difraktsiya na zvezdnom tele”, Vychisl. metody i programmirovanie, 13–14, Izd-vo MGU, M., 1969, 145–151

[3] Sveshnikov A. G., “Printsip izlucheniya”, Dok. AN SSSR, 73:5 (1950), 917–920 | Zbl

[4] Morgenrother K., Werner P., “Reasonanses and standing waves”, Math. Meth. in Appl. Sci., 9 (1987), 105–126 | DOI | MR

[5] Sukhinin S. V., “O diskretnosti sobstvennykh chastot otkrytykh akusticheskikh rezonatorov”, Neklassich. zadachi uprugosti i plastichnosti, 49, Novosibirsk, 1981, 157–163 | MR | Zbl

[6] Ilinskii A. S., Sveshnikov A. G., Chislennye metody v teorii difraktsii: Kurs lektsii, Izd-vo MGU, M., 1975

[7] Ilinskii A. S., Shestopalov Yu. V., Primenenie metodov spektralnoi teorii v zadachakh rasprostraneniya voln, Izd-vo MGU, M., 1989

[8] Apeltsin V. F., Eremin Yu. A., Ilinskii A. S., Sveshnikov A. G., “Chislennye metody issledovaniya rasprostraneniya voln v srede s peremennymi parametrami v rezonansnoi chastotnoi oblasti”, Vychisl. metody i programmirovanie, 28, Izd-vo MGU, M., 1978, 3–13

[9] Shestopalov V. P., Spektralnaya teoriya i vozbuzhdenie otkrytykh struktur, Nauk. dumka, Kiev, 1989 | Zbl

[10] Adams R., Sobolev spases, Acad. Press, New York, 1975 | Zbl

[11] Vatson D., Teoriya besselevykh funktsii, Nauka, M., 1949

[12] Sidorov Yu. V., Fedoryuk M. V., Shabunin M. I., Lektsii po teorii funktsii kompleksnogo peremennogo, Nauka, M., 1989 | Zbl

[13] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | Zbl

[14] Lozhechko V. V., Shestopalov Yu. V., “Svoistva spektra sobstvennykh kolebanii odnogo klassa otkrytykh tsilindricheskikh rezonatorov”, Vestn. MGU, 1994, no. 4, 54–61 | MR

[15] Khermander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, Mir, M., 1987

[16] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1993 | Zbl

[17] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1976 | Zbl