Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 832-841
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Uniqueness and existence theorems for the solution of the inverse problem for a degenerating parabolic equation with unbounded coefficients on a plane in conditions of integral observations are proven. Estimates of the solution with constants explicitly expresses via the input data of the problem are obtained.
@article{ZVMMF_2017_57_5_a5,
author = {V. L. Kamynin},
title = {Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {832--841},
publisher = {mathdoc},
volume = {57},
number = {5},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a5/}
}
TY - JOUR AU - V. L. Kamynin TI - Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2017 SP - 832 EP - 841 VL - 57 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a5/ LA - ru ID - ZVMMF_2017_57_5_a5 ER -
%0 Journal Article %A V. L. Kamynin %T Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2017 %P 832-841 %V 57 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a5/ %G ru %F ZVMMF_2017_57_5_a5
V. L. Kamynin. Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 5, pp. 832-841. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_5_a5/