Abstract
We consider the generalized solvability of convection–diffusion systems and study the inverse problem of determining the right-hand side (the source function) of such a system from integral overdetermination data. The solution of a parabolic system is understood in the generalized sense, and distributions of certain classes are allowed as right-hand sides. Under certain conditions on the problem data, we show that the inverse problem is well-posed in the Sobolev classes.
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