Inverse problems and "loaded" composite type equations

Abstract

In the present article we state a new approach to study nonlinear inverse problems for partial differential equations. Our approach bases on transition to “loaded” composite type equations [16]. As an example we consider the inverse problem for a parabolic equation with two unknown coefficients. Parabolic inverse problems were studied by many authors (see, for instance, [1-15] and the bibliography therein) but the problem we address below is new.