On Some Inverse Problems of Recovering Sources in Stationary Convection-Diffusion Models

We examine well-posedness questions in the Sobolev spaces of inverse problems of recovering the source functions in stationary convection-diffusion models represented in a form of a finite segment of a series in some basis. The overdetermination conditions are the values of a solution at some collection of points lying inside the domain and on its boundary. The conditions obtained ensure existence and uniqueness of solutions to these problems in the Sobolev classes and the Fredholm property of the problem.