Geodesic
Models of a~medium and problems of geophysical data interpretation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 411-413.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider the problems connected with different of the geophysical medium. In particular, we observe the models used in geophysical prospecting and the related results in the theory of inverse problems. The medium model based on the works by academician M. A. Sadovsky is proposed. 
@article{SJVM_2003_6_4_a5,
     author = {M. M. Lavrent'ev},
     title = {Models of a~medium and problems of geophysical data interpretation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {411--413},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a5/}
}
TY  - JOUR
AU  - M. M. Lavrent'ev
TI  - Models of a~medium and problems of geophysical data interpretation
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2003
SP  - 411
EP  - 413
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a5/
LA  - ru
ID  - SJVM_2003_6_4_a5
ER  - 
%0 Journal Article
%A M. M. Lavrent'ev
%T Models of a~medium and problems of geophysical data interpretation
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2003
%P 411-413
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a5/
%G ru
%F SJVM_2003_6_4_a5
M. M. Lavrent'ev. Models of a~medium and problems of geophysical data interpretation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 411-413. http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a5/

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

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

[3] Lavrentev M. M., Savelev L. Ya., Teoriya operatorov i nekorrektnye zadachi, Izd-vo Instituta matematiki SO RAN, Novosibirsk, 1999 | MR

[4] Novikov P. S., “O edinstvennosti obratnoi zadachi teorii potentsiala”, DAN, 18 (1938), 165–168 | Zbl

[5] Lavrentev M. M., “Matematicheskie zadachi tomografii i giperbolicheskie otobrazheniya”, Sib. mat. zhurn., 42:5 (2001), 1094–1105 | MR

[6] Sadovskii M. A., “Estestvennaya kuskovatost gornoi porody”, DAN, 247:4 (1979), 829–831