Geodesic
Reconstruction of the right-hand side of a parabolic equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 674-680 
M. M. Lavrent'ev; V. I. Maksimov. Reconstruction of the right-hand side of a parabolic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 674-680. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a10/
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     title = {Reconstruction of the right-hand side of a~parabolic equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A parabolic equation under the influence of external perturbations is considered. It is assumed that the solutions to this equation are measured (possibly with errors). The problem of construction of differential equations for estimation (reconstruction) of perturbations using the measured data is discussed. Differential equations of the auxiliary system whose right-hand sides are approximations of the unknown input are derived.

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