Initial temperature profile recovery under a mixed boundary condition

The challenge of finding the initial temperature distribution (profile) has been addressed for different boundary conditions. Previous studies studied this problem under Dirichlet [2,6], Neumann [12], and periodic [11]. This article focuses on the problem with mixed boundary conditions. We consider a one-dimensional body where temperatures are measured at a specific location $x_0$ and at a finite number of increasing future time points in a bounded interval. For more information see https://ejde.math.txstate.edu/conf-proc/27/y1/abstr.html