Geodesic
On solving an inverse boundary problem for a parabolic equation by the quasi-revesibility method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 8-13

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An inverse boundary problem for a parabolic equation is analyzed in the article. For the stable approximate solutions of the given problem the quasi-reversibility method is used. It consists in changing the original problem with a problem for hyperbolic equation with a small parameter. A sharp order error estimation of the method at one of the uniform regularization set is obtained.
Keywords: inverse problem; approximate method; error estimation. 
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     author = {E. V. Tabarintseva and L. D. Menikhes and A. D. Drozin},
     title = {On solving an inverse boundary problem for a parabolic equation by the quasi-revesibility method},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {8--13},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2012_6_a1/}
}
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E. V. Tabarintseva; L. D. Menikhes; A. D. Drozin. On solving an inverse boundary problem for a parabolic equation by the quasi-revesibility method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 8-13. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a1/