Determination of the coefficient of heat output in the inverse problem for the heat equation

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.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 9–13.