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A Non-Linear Partial Differential Accretive Operator In A Closed Bounded And Continuous Domain
Journal: INTERNATIONAL JOURNAL OF ADVANCED RESEARCH AND PUBLICATIONS (Vol.1, No. 4)Publication Date: 2017-10-20
Authors : O. Echude; M. T. Y. Kadzai; A. A. Abubakar;
Page : 84-87
Keywords : Accretive; operator; non-linear partial differential equation; Cauchy problem;
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Abstract
A non-linear parabolic partial differential equation is investigated in a closed bounded and continuous domain by converting such an equation into an abstract Cauchy problem. Using some results established in Egwurube and Garba 2003 this operator is shown to be m-accretive thus establishing that this partial differential equation has a solution by the fundamental results of Browder 1967 on the theory of accretive operators.
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Last modified: 2018-06-03 19:53:24