Geodesic
An iterative method for solving the Cauchy problem for elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 1, pp. 64-74 
V. A. Kozlov; V. G. Maz'ya; A. V. Fomin. An iterative method for solving the Cauchy problem for elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 1, pp. 64-74. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Izd-vo SO AN SSSR, Novosibirsk, 1962 | MR

[2] Chudov L. A., “Raznostnye metody resheniya zadachi Koshi dlya uravneniya Laplasa”, Dokl. AN SSSR, 143:4 (1962), 798–801

[3] Vabischevich P. N., “O reshenii zadachi Koshi dlya uravneniya Laplasa v dvukhsvyaznoi oblasti”, Dokl. AN SSSR, 241:6 (1978), 1257–1260 | MR

[4] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1986 | MR | Zbl

[5] Vabischevich P. N., Glasko V. V., Kriksin Yu. A., “O reshenii odnoi zadachi Adamara s pomoschyu regulyarizuyuschego po A. N. Tikhonovu algoritma”, Zh. vychisl. matem. i matem. fiz., 19:6 (1979), 1462–1470 | MR

[6] Strakhov V. N., Ivanov S. N., “Metod analiticheskogo prodolzheniya polya potentsialnykh polei”, Aktualnye probl. vychisl. i prikl. matem., Nauka, SO, Novosibirsk, 1983, 195–203 | MR

[7] Tr. Vses. shkoly-seminara (Noorus, 1982), VTs SO AN SSSR, Novosibirsk, 1982

[8] Vasilenko G. I., Taratorin A. M., Vosstanovlenie izobrazhenii, Radio i svyaz, M., 1986

[9] Kryanev A. V., “Iteratsionnyi metod resheniya nekorrektnykh zadach”, Zh. vychisl. matem. i matem. fiz., 14:1 (1974), 25–35

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

[11] Domanskii E. N., “Ob ekvivalentnosti skhodimosti regulyariziruyuschego algoritma suschestvovaniyu resheniya nekorrektnoi zadachi”, Uspekhi matem. nauk, 42:5 (1987), 101–118 | MR

[12] Maslov V. P., “Suschestvovanie resheniya nekorrektnoi zadachi ekvivalentno skhodimosti regulyarizatsionnogo protsessa”, Uspekhi matem. nauk, 23:3 (1968), 183–184 | MR | Zbl

[13] Landau L. D., Lifshits E. M., Teoriya uprugosti, Nauka, M., 1987 | MR | Zbl