Browsing by Author "Kassa Gebre"
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Item Laplace Equation on the Boundary Value Problems(Addis Ababa University, 2014-06-06) Kassa Gebre; Abdi Tadesse (PhD)In this project we present basic properties of Laplace’s equation on the boundary value problems with the tight focus on mean value property. It is shown that for the Neumann problem, Δ = 0 on Ω × (0 , ∞) = ( ) The boundary data can’t be prescribed at will. Indeed, it is required to satisfy the compatibility condition, ( ) = 0 Regular conditions on the solution u of Δ = 0 are also shown.