Geodesic
On some inverse problem for a three-dimensional wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 8, pp. 1201-1209 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2003_43_8_a5,
     author = {A. B. Bakushinskii and A. I. Kozlov and M. Yu. Kokurin},
     title = {On some inverse problem for a three-dimensional wave equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1201--1209},
     year = {2003},
     volume = {43},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_8_a5/}
}
TY  - JOUR
AU  - A. B. Bakushinskii
AU  - A. I. Kozlov
AU  - M. Yu. Kokurin
TI  - On some inverse problem for a three-dimensional wave equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2003
SP  - 1201
EP  - 1209
VL  - 43
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_8_a5/
LA  - ru
ID  - ZVMMF_2003_43_8_a5
ER  - 
%0 Journal Article
%A A. B. Bakushinskii
%A A. I. Kozlov
%A M. Yu. Kokurin
%T On some inverse problem for a three-dimensional wave equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2003
%P 1201-1209
%V 43
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_8_a5/
%G ru
%F ZVMMF_2003_43_8_a5
A. B. Bakushinskii; A. I. Kozlov; M. Yu. Kokurin. On some inverse problem for a three-dimensional wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 8, pp. 1201-1209. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_8_a5/

[1] Goryunov A. A., Saskovets A. V., Obratnye zadachi rasseyaniya v akustike, Izd-vo MGU, M., 1989

[2] Lavrentev M. M., Romanov V. G., Shishatskii S. P., Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, M., 1980 | MR

[3] Ramm A. G., Mnogomernye obratnye zadachi rasseyaniya, Mir, M., 1994 | Zbl

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

[5] Dyatlov G. V., “Ustoichivost obratnoi zadachi dlya uravneniya Gelmgoltsa”, Sibirskii matem. zhurnal, 35:3 (1994), 583–601 | MR | Zbl

[6] Bukhgeim A. L., Dyatlov G. V., “Edinstvennost v odnoi obratnoi zadache pamyati”, Sibirskii matem. zhurnal, 37:3 (1996), 526–533 | MR | Zbl

[7] Goncharskii A. V., Romanov S. Yu., “Ob odnoi trekhmernoi zadache diagnostiki v volnovom priblizhenii”, Zh. vychisl. matem. i matem. fiz., 40:9 (2000), 1364–1367 | MR | Zbl

[8] Bakushinsky A., Goncharsky A., Romanov S., Seatzu S., “On the identification of velocity in seismics and in acoustic sounding”, Problemi non ben posti ed inversi, Pubbl. Dell'ist. Analisi Globale e Applic., 71, Firenze, 1994, 14 pp.

[9] Mizokhata S., Teoriya uravnenii s chastnymi proizvodnymi, Mir, M., 1977

[10] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1977

[11] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1976 | MR

[12] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[13] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR

[14] Vainikko G. M., Veretennikov A. Yu., Iteratsionnye protsedury v nekorrektnykh zadachakh, Nauka, M., 1986 | MR

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

[16] Bakushinskii A. B., Levitan S. Yu., “Nekotorye modeli i chislennye metody nelineinoi vychislitelnoi diagnostiki”, Sb. tr. VNIISI, 13, M., 1901, 3–25

[17] Vladimirov V. S., Zharinov V. V., Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000

[18] Mikhlin S. G., Nekotorye voprosy teorii pogreshnostei, Izd-vo LGU, L., 1988 | MR | Zbl

[19] Vekua I. N., “O polnote sistemy garmonicheskikh polinomov v prostranstve”, Dokl. AN SSSR, 90:4 (1953), 495–498 | MR | Zbl