@article{SM_1995_80_2_a0,
author = {A. L. Pavlov},
title = {The {Cauchy} problem for {Sobolev{\textendash}Gal'pern} type equations in spaces of functions of power growth},
journal = {Sbornik. Mathematics},
pages = {255--269},
year = {1995},
volume = {80},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_80_2_a0/}
}
A. L. Pavlov. The Cauchy problem for Sobolev–Gal'pern type equations in spaces of functions of power growth. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 255-269. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a0/
[1] Petrovskii I. G., Izbrannye trudy. Sistemy uravnenii s chastnymi proizvodnymi. Algebraicheskaya geometriya, Nauka, M., 1986 | MR | Zbl
[2] Gelfand I. M., Shilov G. E., Nekotorye voprosy teorii differentsialnykh uravnenii, Fizmatgiz, M., 1958 | MR | Zbl
[3] Volevich L. R., Gindikin S. G., “Zadacha Koshi i svyazannye s nei zadachi dlya uravnenii v svertkakh”, UMN, 27:4 (1972), 65–143 | MR | Zbl
[4] Gabov S. A., Sveshnikov A. G., Zadachi dinamiki stratifitsirovannykh zhidkostei, Nauka, M., 1986 | MR
[5] Uspenskii S. V., Demidenko G. V., Perepelkin V. G., Teoremy vlozheniya i prilozheniya k differentsialnym uravneniyam, Nauka, Novosibirsk, 1984 | Zbl
[6] Sobolev S. L., “Ob odnoi novoi zadache matematicheskoi fiziki”, Izv. AN SSSR. Ser. mat., 18:1 (1954), 3–50 | MR | Zbl
[7] Galpern S. A., “Zadacha Koshi dlya obschikh sistem lineinykh uravnenii s chastnymi proizvodnymi”, Tr. MMO, 9, URSS, M., 1960, 401–423 | MR | Zbl
[8] Kostyuchenko A. G., Eskin G. I., “Zadacha Koshi dlya uravnenii tipa Soboleva–Galperna”, Tr. MMO, 10, URSS, M., 1961, 273–284 | MR | Zbl
[9] Eskin G. I., “O edinstvennosti resheniya zadachi Koshi dlya uravnenii ne tipa Kovalevskoi”, Tr. MMO, 10, URSS, M., 1961, 285–295 | MR | Zbl
[10] Borok V. M., “O zadache Koshi dlya obschikh lineinykh uravnenii”, DAN SSSR, 177:4 (1967), 759–762 | MR | Zbl
[11] Borok V. M., Iokhvidovich I. Yu., “O zadache Koshi dlya obschikh lineinykh sistem”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, no. 27, Kharkov, 1977, 26–33 | MR | Zbl
[12] Pavlov A. L., “O zadache Koshi dlya obschikh lineinykh uravnenii v chastnykh proizvodnykh s postoyannymi koeffitsientami”, Tezisy dokladov respublikanskoi konferentsii po nelineinym zadacham matematicheskoi fiziki, Donetsk, 1983
[13] Gramchev T. V., “Necessary and sufficient Condition for uniqueness of the characteristic cauchy problem for differential operators with constant coefficients”, Math. Nachr., 127 (1986), 309–315 | DOI | MR | Zbl
[14] Pavlov A. L., “O edinstvennosti resheniya zadachi Koshi dlya uravnenii, ne razreshennykh otnositelno starshei proizvodnoi po vremeni”, Kraevye zadachi dlya uravnenii v chastnykh proizvodnykh, Naukova Dumka, Kiev, 1978, 76–79
[15] Khërmander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi. T. 2. Differentsialnye operatory s postoyannymi koeffitsientami, Mir, M., 1986
[16] Boni Zh. M., Shapira P., “Resheniya – giperfunktsii zadachi Koshi”, Matematika, 17:2 (1973), 98–106 | MR
[17] Shapira P., Teoriya giperfunktsii, Mir, M., 1972 | MR | Zbl
[18] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR | Zbl
[19] Morimoto M., “Edge of the wedge theorem and hyperfunction”, Lect. Notes Math., 287, 1972, 44–81 | MR
[20] Khërmander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi. T. 1. Teoriya raspredelenii i analiz Fure, Mir, M., 1986
[21] Milnor Dzh., Osobye tochki kompleksnykh giperpoverkhnostei, Mir, M., 1971 | MR | Zbl
[22] Lyubich Yu. I., “Klassicheskoe i lokalnoe preobrazovanie Laplasa v abstraktnoi zadache Koshi”, UMN, 21:3 (1966), 3–51 | Zbl
[23] Khërmander L., “O delenii obobschennykh funktsii na polinomy”, Matematika, 3:5 (1959), 117–130
[24] Fuks B. A., Levin V. I., Funktsii kompleksnogo peremennogo i ikh prilozheniya, Gos. izd. tekh.-teor. literatury, M.–L., 1951 | MR