Inverse problem for a two-dimensional strongly degenerate heat equation

Abstract

We consider an inverse problem for a two-dimensional degenerate heat equation in a rectangular domain. Direct problems of this type are mathematical models of various processes such as seawater desalination, movement of liquid in porous medium, financial market behavior. Inverse problems arise when certain parameters of these processes are unknown. Var- ious types of inverse problems for non-degenerate equations are well investigated and some results may be found in many monograph.