Considering different settings of inverse problems of mathematical physics, both in linear and nonlinear cases, this text looks at solvability and the search for constructive methods. In general, the problems considered are multidimensional. Effective methods for source recovery are given for sources of different nature. The suggested methods and results aim to be valuable for the development of both theoretical and practical problems of simulation and determining the sources on the basis of multidimensional inverse problems of mathematical physics.
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