On a~Problem of Identification of the Source Function for a~Parabolic Equation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 370-375
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The inverse problem is proved to be uniquely solvable “as a whole”. The behavior of its solution is investigated as the time variable tends to infinity.
Keywords:
inverse problem, stabilization, the problem of identification of coefficients, partial differential equations.
@article{JSFU_2009_2_3_a12,
author = {Ol'ga N. Cherepanova and Tatyana N. Shipina},
title = {On {a~Problem} of {Identification} of the {Source} {Function} for {a~Parabolic} {Equation}},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {370--375},
publisher = {mathdoc},
volume = {2},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a12/}
}
TY - JOUR AU - Ol'ga N. Cherepanova AU - Tatyana N. Shipina TI - On a~Problem of Identification of the Source Function for a~Parabolic Equation JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2009 SP - 370 EP - 375 VL - 2 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a12/ LA - ru ID - JSFU_2009_2_3_a12 ER -
%0 Journal Article %A Ol'ga N. Cherepanova %A Tatyana N. Shipina %T On a~Problem of Identification of the Source Function for a~Parabolic Equation %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2009 %P 370-375 %V 2 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a12/ %G ru %F JSFU_2009_2_3_a12
Ol'ga N. Cherepanova; Tatyana N. Shipina. On a~Problem of Identification of the Source Function for a~Parabolic Equation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 370-375. http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a12/