Geodesic
On some inverse problems of determining boundary regimes
Matematičeskie zametki SVFU, Tome 23 (2016) no. 2, pp. 3-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the inverse problem of determining unknown functions occurring in boundary conditions together with the solution to the initial-boundary value problem for a second-order parabolic equation. The overdetermination conditions are integrals of the solution with weight. The existence and uniqueness theorem for solutions to this inverse problem is established.
Keywords: inverse problem, boundary and initial conditions, Sobolev space, existence and uniqueness theorem, solvability.
Mots-clés : parabolic equation 
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M. A. Verzhbitskii; S. G. Pyatkov. On some inverse problems of determining boundary regimes. Matematičeskie zametki SVFU, Tome 23 (2016) no. 2, pp. 3-18. http://geodesic.mathdoc.fr/item/SVFU_2016_23_2_a0/

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