On an inverse electrodynamic problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2052-2060

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

The inverse electrodynamic problem of determining the electric conductivity of a metal sample from a measured resulting outside field and a given applied field is considered. It is shown that the corresponding operator equation is not uniquely solvable in the general case of magnetic and nonmagnetic metals. In the latter case, the additive class of nonuniqueness is described exactly; i.e., the kernel of the integro-differential operator is found.
@article{ZVMMF_2005_45_11_a12,
     author = {V. V. Dyakin and V. Ya. Raevskii},
     title = {On an inverse electrodynamic problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2052--2060},
     publisher = {mathdoc},
     volume = {45},
     number = {11},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a12/}
}
TY  - JOUR
AU  - V. V. Dyakin
AU  - V. Ya. Raevskii
TI  - On an inverse electrodynamic problem
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 2052
EP  - 2060
VL  - 45
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a12/
LA  - ru
ID  - ZVMMF_2005_45_11_a12
ER  - 
%0 Journal Article
%A V. V. Dyakin
%A V. Ya. Raevskii
%T On an inverse electrodynamic problem
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 2052-2060
%V 45
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a12/
%G ru
%F ZVMMF_2005_45_11_a12
V. V. Dyakin; V. Ya. Raevskii. On an inverse electrodynamic problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2052-2060. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a12/