On the Recovery of Surface Temperature and Heat Flux via Convolutions
The determination of the surface temperature and heat flux of a body by means of interior temperature measurements is very important in many areas of science and industry (cf. , , ), and is usually referred to as inverse heat conduction problems (IHCP). Due to their wide applicability, much emphasis has been placed on the numerical solutions of these IHCP. It is stated in  that few exact (or, analytic) solutions have been found, and that the known exact soluti ons usually have quite restrictive assumptions imposed on the boundary data (such as infinite differentiability).
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