Two-term asymptotics of the spectrum of a boundary-value problem under an interior reflection of general form
Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 4, pp. 1-13.

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D. G. Vasil'ev. Two-term asymptotics of the spectrum of a boundary-value problem under an interior reflection of general form. Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 4, pp. 1-13. http://geodesic.mathdoc.fr/item/FAA_1984_18_4_a0/

[1] Seeley R.T., Amer. J. Math., 88:4 (1966), 781–809 | DOI | MR | Zbl

[2] Ryabenkii V.S., UMN, 26:3 (1971), 105–160 | MR

[3] Reznik A.A., Ryabenkii V.S., Sofronov I.L., Turchaninov V.I., Ob algoritme metoda raznostnykh potentsialov dlya chislennogo resheniya redutsirovannykh na granitsu kraevykh zadach, Preprint IPM im. M.V. Keldysha AN SSSR No 39, 1984

[4] Ilinskii A.S., Sveshnikov A.G., “Metody chislennogo resheniya zadach teorii difraktsii”, Tr. Vses. konf. po uravneniyam s chastnymi proizvodnymi, Izd. MGU, M., 1978, 124–127

[5] Ryabenkii V.S., Sofronov I.L., Chislennoe reshenie vneshnikh prostranstvennykh zadach dlya uravneniya Gelmgoltsa metodom raznostnykh proektorov, Preprint IPM im. M.V. Keldysha AN SSSR No 11, 1984 | MR

[6] Sobolev S.L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Izd. LGU, L., 1950 | MR