Geodesic
Inverse problem for source function in parabolic equation at Neumann boundary conditions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 445-451

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The second initial-boundary value problem for a parabolic equation is under study. The term in the source function, depending only on time, is to be unknown. It is shown that in contrast to the standard Neumann problem, for the inverse problem with integral overdetermination condition the convergence of it nonstationary solution to the corresponding stationary one is possible for natural restrictions on the input problem data.
Keywords: inverse problem, source function, a priori estimate, nonlocal overdetermination condition.
Mots-clés : parabolic equation 
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     title = {Inverse problem for source function in parabolic equation at {Neumann} boundary conditions},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a5/}
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Victor K. Andreev; Irina V. Stepanova. Inverse problem for source function in parabolic equation at Neumann boundary conditions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 445-451. http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a5/