An Inverse Coefficient Problem for a Quasilinear Parabolic Equation of High Order

Abstract

In this paper an inverse problem of finding the time-dependent coefficient of heat capacity together with solution of high-order heat equation with nonlocal boundary and integral overdetermination conditions is considered. The existence and uniqueness of a solution of the inverse problem are proved by using the Fourier method and the iteration method. Continuous dependence upon the data of the inverse problem is shown.