Browsing by Author "Adhena, Haftu"

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    Maximum principles of Second Order Ellip Tic Equations
    (Addis Ababa University, 2011-01) Adhena, Haftu; Gedif, Tsegaye(PhD)
    In this project we discussed the maximum principle for elliptic equations state several theorems, corollaries, and give a number of examples. Although the maximum principle for Laplace's and some other equations has been known for about a hundred years, it is relatively recently that Hopf’s established strong maximum principles for general second-order elliptic equations Hence the proofs of weak and strong maximum principles of second order linear elliptic operator and other related corollaries are discussed in detail