RECOVERING THE EVOLUTION OF THE SOURCE TERM OF A LINEAR PROBLEM IN A HEAT CONDUCTION WITH MEMORY
We investigate the evolution of the source term in a parabolic problem. In order to recover the evolution term, we define an inverse problem subject to the given overdetermined conditions. We set up a fixed point system to study the existence and uniqueness of this inverse problem.
heat equation with memory, direct problem, inverse parabolic problem with memory, overdetermined condition, source term, fixed point system.