RECONSTRUCTION OF THE EMISSION COEFFICIENT IN THE NONLINEAR RADIATIVE TRANSFER EQUATION.

In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat equation in a nonscattering medium in ℝⁿ, n ≥ 2. The two equations are coupled through a nonlinear blackbody emission term that is proportional to the fourth power of the temperature. By measuring the radiation intensity on the surface of the blackbody, we prove that the emission property of the system can be uniquely reconstructed. In particular, we design a reconstruction procedure that uses merely one set of experimental setup to fully recover the emission parameter. [ABSTRACT FROM AUTHOR]