Geodesic
On the uniqueness of the solution to the inverse boundary value problem for the heat equation on a finite time interval
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 1, pp. 223-236 Cet article a éte moissonné depuis la source Math-Net.Ru

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This work is devoted to proving the uniqueness of the solution to the inverse boundary value problem of heat conduction on a finite time interval. For these purposes, the original problem is extended to an infinite time interval, and then the Fourier transform in time is applied to the new problem. As a result, the problem is reduced to a system of ordinary differential equations, which is solved explicitly. A uniqueness theorem is proved for the inverse boundary value problem in Fourier images.
Keywords: inverse heat conduction problem, ill-posed problem.
Mots-clés : Fourier transform 
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V. P. Tanana. On the uniqueness of the solution to the inverse boundary value problem for the heat equation on a finite time interval. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 1, pp. 223-236. http://geodesic.mathdoc.fr/item/TIMM_2024_30_1_a16/

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