An Overview of Maximum Principle for Elliptic Pdes
No Thumbnail Available
Date
2016-09-09
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
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.
Description
Keywords
Maximum Principle, Elliptic Pdes, Laplace Equation, Dirichlet Problem, Harmonic Function, Existence and Uniqueness, A Prior Bounds