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