Some inverse problems for strong parabolic systems
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.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 1, pp 127-138.
Citation Example: Akhundov A. Ya. Some inverse problems for strong parabolic systems // Ukr. Mat. Zh. - 2006. - 58, № 1. - pp. 115–124.