ON AN INVERSE PROBLEM FOR A "WEAK" SYSTEM OF PARABOLIC EQUATIONS

Abstract

The goal of the paper is to study the well-posedness of an inverse problem on definition of unknown coefficients at higher derivatives in a "weak" system of parabolic equations.
A theorem on uniqueness of the solution of the considered inverse problem is proved and an
estimation characterizing the stability of the solution is obtained.
Keywords: inverse problem, "weak" system of parabolic equations, uniqueness