Abstract
The questions of well-posedness and approximate solution of inverse problems of finding unknown functions on the right-hand side of a system of parabolic equations are investigated. For the problems considered, theorems on the existence, uniqueness, and stability of a solution are proved and examples that show the exactness of the established theorems are given. Moreover, on the set of well-posedness, the rate of convergence of the method of successive approximations suggested for the approximate solution of the given problems is estimated.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 1, pp. 115–124, January, 2006.
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Akhundov, A.Y. Some inverse problems for strong parabolic systems. Ukr Math J 58, 127–138 (2006). https://doi.org/10.1007/s11253-006-0055-z
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DOI: https://doi.org/10.1007/s11253-006-0055-z