Mathematics

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An Overview of Maximum Principle for Elliptic Pdes
(Addis Ababa University, 2016-09-09) Kumelachew Bizuayehu; Abdi Tadesse (PhD)
In this paper, we shall study linear elliptic partial differential equations of second order, ( ) ( ) ( ) 0 ,     i j i ij ij i i Lu a x u b x u c x u on a bounded domain n   R with regular boundary . The coefficients aij , bi and c are assumed to be continuous. We will see that if u is a solution of the PDE then it attains its maximum/minimum on.