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. 
@article{VTAMU_2017_22_6_a5,
     author = {A. V. Gerasimova and E. B. Laneev and M. N. Muratov and E. Yu. Ponomarenko and V. V. Surovtsev},
     title = {On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the {Poisson} equation},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {1261--1267},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a5/}
}
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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/