Andanje, MulambulaMatuya, John Wanyonyi2019-04-292019-04-292015-04-012319 2801http://erepository.kibu.ac.ke/handle/123456789/751In 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 equationenAttribution-NonCommercial-ShareAlike 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-sa/3.0/us/ControllabilityLipschitzquasi-linearHilbert spaceArticle