An Overview Of Maximum Principle For Elliptic Pdes
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In this paper, we shall study linear elliptic partial differential equations of second order,rn( ) ( ) ( ) 0rn,rn   rni j irnij ij i i Lu a x u b x u c x urnon a bounded domain n ï— ïƒ R with regular boundary ï—. The coefficients aij , bi and c arernassumed to be continuous. We will see that if u is a solution of the PDE then it attains itsrnmaximum/minimum onï—.
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