Geodesic
About solution of the boundary inverse problem for a parabolic equation by means of subsidiary boundary conditions method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 68-76

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The author analyses the problem of recovery of boundary condition using additional information about parabolic equation solution. An approximate solution of the posed problem is done by the subsidiary boundary conditions method with choice of the regularization parameter by the Lavrentiev scheme [1] and one of the schemes of posteriori choice regularization parameter. The author obtains an order precise error evaluation of the built approximate solution at one of the uniform regularization classes.
Keywords: inverse problem, approximate method, error evaluation. 
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     author = {E. V. Tabarintseva},
     title = {About solution of the boundary inverse problem for a parabolic equation by means of subsidiary boundary conditions method},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {68--76},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2011_5_a9/}
}
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E. V. Tabarintseva. About solution of the boundary inverse problem for a parabolic equation by means of subsidiary boundary conditions method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 68-76. http://geodesic.mathdoc.fr/item/VYURM_2011_5_a9/