Geodesic
Inverse problem for equation of mixed elliptic-hyperbolic type
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 89-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this work the inverse problem for the equation of the mixed elliptic-hyperbolic type with the unknown right side is viewed. The criterion of the uniqueness of the solution is established.
Keywords: equation of the mixed type, inverse problem, spectral method, uniqueness
Mots-clés : existense. 
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     title = {Inverse problem for equation of mixed elliptic-hyperbolic type},
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G. Yu. Udalova. Inverse problem for equation of mixed elliptic-hyperbolic type. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 89-97. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a10/

[1] Tikhonov A. N., “Ob ustoichivosti obratnykh zadach”, DAN, 39:5 (1943), 195–198 | MR

[2] Lavrentev M. M., “Ob odnoi zadache dlya volnovogo uravneniya”, Dokl. AN SSSR, 157:3 (1964), 520–521 | MR

[3] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978, 206 pp. | MR

[4] Denisov A. M., Vvedenie v teoriyu obratnykh zadach, Izd-vo MGU, M., 1994, 285 pp.

[5] Sabitov K. B., “Zadacha Dirikhle dlya uravnenii smeshannogo tipa v pryamougolnoi oblasti”, Dokl. RAN, 413:1 (2007), 23–26 | MR | Zbl

[6] Sabitov K. B., “Kriterii edinstvennosti resheniya kraevoi zadachi dlya uravneniya smeshanno-sostavnogo tipa”, Trudy mezhdunarodnoi nauchnoi konferentsii, posvyaschennoi yubileyu akademika V. A. Ilina, v. 2, Gilem, Ufa, 2008, 154–161

[7] Sabitov K. B., Safin E. M., “Obratnaya zadacha dlya uravneniya parabolo-giperbolicheskogo tipa v pryamougolnoi oblasti”, Dokl. RAN, 429:4 (2009), 451–454 | Zbl

[8] Sabitov K. B., Safin E. M., “Obratnaya zadacha dlya uravneniya parabolo-giperbolicheskogo tipa v pryamougolnoi oblasti”, Izv. vuzov. Ser.: Matematika, 2010, no. 4, 55–62 | MR | Zbl

[9] Udalova G. Yu., “Edinstvennost resheniya obratnoi zadachi dlya uravneniya smeshannogo tipa”, Trudy SFANRB, Gilem, Ufa, 2009, 155–159