Identification of the absorption parameter in convection-diffusion equations

The correctness in Sobolev spaces of inverse problems of determining the constant at the lowest coefficient (absorption coefficient) is considered in a parabolic equation. The theorem of existence and uniqueness of the solution is proved. The proof is based on the obtained a priori estimates and properties of solutions to parabolic problems. The method used is constructive and based on the proposed approach it is possible to construct numerical methods for solving the problem.