Geodesic
The source control in the problem of heat conduction
Numerical methods and programming, Tome 14 (2013) no. 1, pp. 77-81.

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For the heat conduction equation, a boundary value problem that consists in determining the density of volume sources which provides a prescribed final ($T>0$) temperature distribution is considered. The correctness of the problem is proved, a convergent algorithm is constructed, and an algorithm for solving the inverse problem of heat conduction is proposed. The work was performed in the framework of the target program (project 2.1.1/1292) and was supported by the Russian Foundation for Basic Research (projects 11-01-96511a and 13-01-00096a).
Keywords: heat conduction; boundary value problems; inverse problem of heat conduction; control of distributed parameters. 
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     author = {V. A. Morozov and V. G. Lezhnev and N. M. Tokarev},
     title = {The source control in the problem of heat conduction},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a9/}
}
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V. A. Morozov; V. G. Lezhnev; N. M. Tokarev. The source control in the problem of heat conduction. Numerical methods and programming, Tome 14 (2013) no. 1, pp. 77-81. http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a9/