The problem considered is the uniqueness of determining a heat source from minimal information on the temperature field outside the region that it occupies, when either or both of the intensity and the region of localization are unknown (in R$_{2}$). The problem is formulated for different stages of development of the source. Theorems for a point source (various cases) and also for a distributed source of uniform intensity with a given localization region are given.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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