On some classes of stationary inverse problems of determining the heat transfer coefficient for mathematical models of heat and mass transfer

Abstract

In the article we consider well-posedness in Sobolev spaces of stationary inverse problems of recovering the heat transfer coefficient at the interface which is included in the transmission condition of the imperfect contact type. The existence and uniqueness theorem are exhibited. The method is constructive and the approach allows to develop numerical methods for solving the problem. The proof relies on a priori estimates obtained and the fixed-point theorem.