Kibabii University 1st International Conference; June 22-24,2016
In this work, we study the global controllability of the quasi-linear heat equation with boundary conditions. We consider distributed controls with support in a small sub-domain. We assume that the quasi-linear terms are locally Lipschitz. We prove that there exists a control that drives to desired state within a finite time.
Keywords: Quasi-linear heat equation, Lipschitz continuity, global controllability