Geodesic
Optimum under the order an estimation of the solution of an inverse problem of thermal diagnostics for the equation with variable factor
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 54-61 
A. S. Kutuzov. Optimum under the order an estimation of the solution of an inverse problem of thermal diagnostics for the equation with variable factor. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 54-61. http://geodesic.mathdoc.fr/item/VCHGU_2009_11_a5/
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     title = {Optimum under the order an estimation of the solution of an inverse problem of thermal diagnostics for the equation with variable factor},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The optimality under the order of a method of projection regularization is proved at the solution of a problem of restoration of a temperature field and a thermal stream on border of considered area.

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[2] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972 | MR

[3] M. A. Naimark, Lineinye differentsialnye operatory, Nauka, M., 1969 | MR

[4] V. P. Tanana, “Ob optimalnosti po poryadku metoda proektsionnoi regulyarizatsii pri reshenii obratnykh zadach”, Sib. zhurn. vychisl. matematiki, 7:2 (2004), 117—132 | MR | Zbl