(Asian Academic Research Associates : AARJMD, 2015-04-01) Andanje, Mulambula; Matuya, John Wanyonyi
In this article we have examined the controllability of the quasi-linear heat equation. We
considered distributed controls with support in a small sub-domain. We assumed that the
quasi-linear terms are locally Lipschitz. We have proved that there exists a control that drives
to desired state within a finite time. Our main objective was to determine the existence,
uniquiness and regularity of solutions of controllability of a quasi-linear heat equation
