An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions

Abstract

This paper investigates the inverse problem of finding a time-dependent coefficient in a heat equation with nonlocal boundary and integral overdetermination conditions. Under some regularity and consistency conditions on the input data, the existence, uniqueness and continuous dependence upon the data of the solution are shown by using the generalized Fourier method. (C) 2012 Elsevier Inc. All rights reserved.