Geodesic
On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the Poisson equation
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1261-1267

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An inverse problem with mixed boundary value conditions for the Poisson equation for bodies of constant thickness is considered, aiming to reconstruct the sources density distribution. A stable solution of the problem is obtained.
Keywords: ill-posed problem, inverse problem of the potential, the Sretenskiy class of bodies, method of Tikhonov regularization. 
A. V. Gerasimova; E. B. Laneev; M. N. Muratov; E. Yu. Ponomarenko; V. V. Surovtsev. On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the Poisson equation. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1261-1267. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a5/
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     title = {On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the {Poisson} equation},
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[7] E. B. Laneev, M. N. Muratov, E. Yu. Ponomarenko, 0. Baaj, “On a linear inverse problem for the newtonian potential for bodies of constant thickness”, Tambov University Reports. Series: Natural and Technical Sciences, 21:6 (2016), 2019–2025 (In Russian)

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