Asymptotics of the solutions of the Neumann problem for hyperbolic systems in domains with conic points
Algebra i analiz, Tome 16 (2004) no. 3, pp. 56-98.

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A. Yu. Kokotov; B. A. Plamenevskii. Asymptotics of the solutions of the Neumann problem for hyperbolic systems in domains with conic points. Algebra i analiz, Tome 16 (2004) no. 3, pp. 56-98. http://geodesic.mathdoc.fr/item/AA_2004_16_3_a2/

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

[2] Kondratev V. A., Oleinik O. A., “Kraevye zadachi dlya sistemy teorii uprugosti v neogranichennykh oblastyakh. Neravenstva Korna”, Uspekhi mat. nauk, 43:5(263) (1988), 55–98 | MR

[3] Fikera G., Teoremy suschestvovaniya v teorii uprugosti, Mir, M., 1974

[4] Kozlov V. A., Mazya V. G., “Spektralnye svoistva operatornykh puchkov, porozhdennykh ellipticheskimi kraevymi zadachami v konuse”, Funkts. anal. i ego pril., 22:2 (1988), 38–46 | MR | Zbl

[5] Plamenevskii B. A., “O zadache Dirikhle dlya volnovogo uravneniya v tsilindre s rebrami”, Algebra i analiz, 10:2 (1998), 197–228, (Popravka 10 (1998), No 3, 224) | MR

[6] Kokotov A. Yu., Plamenevskii B. A., “O zadache Koshi–Dirikhle dlya giperbolicheskikh sistem v kline”, Algebra i analiz, 11:3 (1999), 140–195 | MR | Zbl

[7] Nazarov S. A., Plamenevskiĭ B. A., Elliptic problems in domains with piecewise smooth boundaries, de Gruyter Exp. Math., 13, Walter de Gruyter, Berlin, 1994 | MR

[8] Kokotov A. Yu., Neittaanmyaki P., Plamenevskii B. A., “Zadachi difraktsii na konuse: asimptotika reshenii vblizi vershiny”, Zap. nauch. semin. POMI, 259, 1999, 122–144 | MR | Zbl

[9] Kokotov A. Yu., Neittaanmyaki P., Plamenevskii B. A., “Zadacha Neimana dlya volnovogo uravneniya v kline”, Probl. mat. anal., 20, Nauch. kn., Novosibirsk, 2000, 71–110

[10] Mazya V. G., Plamenevskii B. A., “O koeffitsientakh v asimptotike reshenii ellipticheskikh kraevykh zadach v konuse”, Zap. nauch. semin. LOMI, 52, 1975, 110–127

[11] Kozlov V. A., Maz'ya V. G., Rossmann J., Elliptic boundary value problems in domains with point singularities, Math. Surveys Monographs, 52, Amer. Math. Soc., Providence, RI, 1997 | MR | Zbl

[12] Nazarov S. A., Plamenevskii B. A., “Zadacha Neimana dlya samosopryazhennykh ellipticheskikh sistem v oblasti s kusochno gladkoi granitsei”, Tr. Leningr. mat. o-va, 1, 1991, 174–211 | Zbl

[13] Eskin G., “The wave equation in a wedge with general boundary conditions”, Comm. Partial Differential Equations, 17:1–2 (1992), 99–160 | MR | Zbl

[14] Cheeger J., Taylor M., “On the diffraction of waves by conical singularities. I, II”, Comm. Pure Appl. Math., 35 (1982), 275–331 ; 487–529 | DOI | MR | Zbl | MR | Zbl

[15] Uchida M., “Microlocal analysis of diffraction by a corner”, Ann. Sci. École Norm. Sup. (4), 25:1 (1992), 47–75 | MR | Zbl

[16] Gérard P., Lebeau G., “Diffusion d'une onde par un coin”, J. Amer. Math. Soc., 6:2 (1993), 341–424 | DOI | MR | Zbl

[17] Grisvard P., “Contrôlabilité exacte des solutions de l'équation des ondes en presence de singularités”, J. Math. Pures Appl. (9), 68 (1989), 215–259 | MR | Zbl

[18] Borovikov V. A., Difraktsiya na mnogougolnikakh i mnogogrannikakh, Nauka, M., 1966 | MR

[19] Poruchikov V. B., Metody dinamicheskoi teorii uprugosti, Nauka, M., 1986 | MR

[20] Dobrushkin V. A., Kraevye zadachi dinamicheskoi teorii uprugosti dlya klinovidnykh oblastei, Nauka i tekhnika, Minsk, 1988 | MR | Zbl

[21] Melnikov I. I., “Osobennosti resheniya smeshannoi zadachi dlya giperbolicheskikh uravnenii vtorogo poryadka v oblastyakh s kusochno-gladkoi granitsei”, Uspekhi mat. nauk, 37:1(223) (1982), 149–150 | MR

[22] Nguen Man Khung, “Asimptotika reshenii pervoi kraevoi zadachi dlya silno giperbolicheskikh sistem vblizi konicheskoi tochki granitsy oblasti”, Mat. sb., 190:7 (1999), 103–126 | MR

[23] Maz'ya V. G., Rossmann J., “Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten”, Math. Nachr., 138 (1988), 27–53 | DOI | MR

[24] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, T. 2, Nauka, M., 1966 | MR

[25] Khermander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, T. 1, Mir, M., 1986

[26] Mazya V. G., Plamenevskii B. A., “Ob asimptotike fundamentalnykh reshenii ellipticheskikh kraevykh zadach v oblastyakh s konicheskimi tochkami. Kraevye zadachi. Spektralnaya teoriya”, Probl. mat. anal., 7, LGU, L., 1979, 100–145 | MR