@article{SM_1991_69_2_a10,
author = {A. V. Deryabina},
title = {On the growing solutions of the strongly degenerate hyperbolic systems},
journal = {Sbornik. Mathematics},
pages = {479--496},
year = {1991},
volume = {69},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1991_69_2_a10/}
}
A. V. Deryabina. On the growing solutions of the strongly degenerate hyperbolic systems. Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 479-496. http://geodesic.mathdoc.fr/item/SM_1991_69_2_a10/
[1] Smirnov M. M., Vyrozhdayuschiesya ellipticheskie i giperbolicheskie uravneniya, Nauka, M., 1966 | MR
[2] Oleinik O. A., Radkevich E. V., Uravneniya vtorogo poryadka s neotritsatelnoi kharakteristicheskoi formoi, Matematicheskii analiz. 1969. Itogi nauki, VINITI, M., 1971
[3] Volevich L. R., Ivrii V. Ya., “Giperbolicheskie uravneniya (kommentarii k rabotam No 1, 3)”, Petrovskii I. G. Izbrannye trudy. Sistemy uravnenii s chastnymi proizvodnymi. Algebraicheskaya geometriya, Nauka, M., 1986, 395–418 | MR
[4] Kondratev V. A., “O reshenii giperbolicheskoi zadachi Koshi pri nalichii kharakteristicheskikh tochek nachalnoi poverkhnosti”, Tr. Seminara im. I. G. Petrovskogo, 1979, no. 5, 97–104 | MR
[5] Baouendi M. S., Goulaouic C., “Cauchy problem with characteristic initial hypersurface”, Comm. Pure Appl. Math., 26:4 (1973), 455–475 | DOI | MR | Zbl
[6] Malovichko V. A., O kraevykh zadachakh tipa Gursa dlya sistemy differentsialnykh uravnenii chetvertogo poryadka, Dep. v Ukr. NIINTI 22.V.85. No 1102 Uk. 85 Dep.
[7] Shatskii V. P., Vyrozhdayuschiesya sistemy pervogo poryadka v polose, Dep. v VINITI AN SSSR 09.06.86. No 4189-V | Zbl
[8] Tersenov S. A., “O singulyarnoi zadache Koshi dlya odnoi sistemy uravnenii giperbolicheskogo tipa”, DAN SSSR, 205:5 (1972), 1046–1049 | MR
[9] Vragov V. N., “Zadacha Koshi dlya nekotorykh klassov simmetricheskikh sistem pervogo poryadka i giperbolo-parabolicheskikh uravnenii vtorogo poryadka”, Teoriya kubaturnykh formul i prilozheniya funktsionalnogo analiza k nekotorym zadacham matematicheskoi fiziki, Novosibirsk, 1975, 23–39 | MR
[10] Larkin N. A., “Zadacha Koshi dlya vyrozhdayuschegosya giperbolicheskogo uravneniya”, Differents. uravneniya, 9:1 (1973), 186–188 | MR
[11] Kalashnikov A. S., “Zadacha bez nachalnykh uslovii v klassakh rastuschikh funktsii dlya nekotorykh lineinykh vyrozhdayuschikhsya parabolicheskikh sistem vtorogo poryadka, I”, Vestn. MGU. Ser. 1. Matematika, mekhanika, 1971, no. 2, 42–48 | Zbl
[12] Kalashnikov A. S., “Zadacha bez nachalnykh uslovii v klassakh rastuschikh funktsii dlya nekotorykh lineinykh vyrozhdayuschikhsya parabolicheskikh sistem vtorogo poryadka, II”, Vestn. MGU. Ser. 1. Matematika, mekhanika, no. 3, 3–8
[13] Deryabina A. V., “O zadache bez nachalnykh uslovii dlya silno vyrozhdayuschikhsya giperbolicheskikh uravnenii s rastuschimi koeffitsientami”, Vestn. MGU. Ser. 1. Matematika, mekhanika, 1987, no. 6, 71–73 | MR
[14] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1966 | MR