Browsing by Author "Matuya, John Wanyonyi"

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    Controllability of a quasi-linear heat equation
    (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