Geodesic
Optimum estimation under the order of the approached decision of one boundary inverse problem for the equation of heat conductivity with variable factor
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 9 (2011), pp. 22-31

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In this article the optimality under the order of a method of projection regularization with reference to the decision of one boundary inverse problem of thermal diagnostics for the equation with variable factor is proved. The estimation of an error of the constructed approached decision, dependent on a point in which intermediate gauging temperature is made is received.
Keywords: boundary inverse problems, ill-posed problems, the method of projection regularization, optimum estimations under the order. 
@article{VYURU_2011_9_a2,
     author = {A. S. Kutuzov},
     title = {Optimum estimation under the order of the approached decision of one boundary inverse problem for the equation of heat conductivity with variable factor},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {22--31},
     publisher = {mathdoc},
     number = {9},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_9_a2/}
}
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A. S. Kutuzov. Optimum estimation under the order of the approached decision of one boundary inverse problem for the equation of heat conductivity with variable factor. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 9 (2011), pp. 22-31. http://geodesic.mathdoc.fr/item/VYURU_2011_9_a2/