Heat Source Determining Inverse Problem for non-local in time equation

Abstract

In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.

In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. To prove the well-posedness of this inverse problem, we use widely the results of the direct problem part of the paper arXiv:2306.03545