An existence of the solution for identification problem of coefficient in special form at source function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 120-134
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An identification problem of the special form coefficient at source function in twodimensional parabolic equation with Cauchy data was studied in this article. Unknown coefficient is considered as the product of two unknown functions, each of which depends on the time and one spatial variable. The theorems of existence of the solution for direct and inverse problems has been proved using a weak approximation method.
Keywords:
inverse problem, identification problem, method of weak approximation, existence of the solution, equations in partial derivatives.
@article{VNGU_2013_13_1_a10,
author = {I. V. Frolenkov and E. N. Kriger},
title = {An existence of the solution for identification problem of coefficient in special form at source function},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {120--134},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a10/}
}
TY - JOUR AU - I. V. Frolenkov AU - E. N. Kriger TI - An existence of the solution for identification problem of coefficient in special form at source function JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2013 SP - 120 EP - 134 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a10/ LA - ru ID - VNGU_2013_13_1_a10 ER -
%0 Journal Article %A I. V. Frolenkov %A E. N. Kriger %T An existence of the solution for identification problem of coefficient in special form at source function %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2013 %P 120-134 %V 13 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a10/ %G ru %F VNGU_2013_13_1_a10
I. V. Frolenkov; E. N. Kriger. An existence of the solution for identification problem of coefficient in special form at source function. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 120-134. http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a10/