Determination of the coefficient of heat output in the inverse problem for the heat equation. (English) Zbl 1267.35098
J. Sov. Math. 65, No. 5, 1814-1817 (1993); translation from Mat. Metody Fiz.-Mekh. Polya, No. 33, 9–13 (1991).
Summary: To determine the variable coefficient of heat output in a boundary condition of third kind we propose applying a representation of the solution of the one-sided heat conduction problem obtained by the symbolic operator method. We consider the cases of the one- and two-dimensional inverse problems.
References:
| [1] | P. Lévy,Problèmes concrets de l’analyse fonctionelle, Gauthier-Villars, Paris (1951). |
| [2] | I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series, and Products, Academic Press, New York (1980). |
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