DETERMINATION OF TIME-DEPENDENT CONTROL PARAMETER ON THE HEISENBERG GROUP

Abstract

In this thesis, we examine inverse problems for the sub-elliptic heat equation with the Cauchy-Dirichlet initial-boundary value condition to determine the time-dependent control parameter. Consequently, on the Heisenberg group, we find a time-dependent coefficient of the lowest term of the model along with the temperature distribution using information from an observation point. Spectral theory and potential theory techniques are the two that we take into consideration.