Browsing by Author "Alemayehu, Mulugeta"

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    Solutions to Dirichlet Problem and Neumann Problem
    (Addis Ababa University, 2011-01) Alemayehu, Mulugeta; Gedif, Tsegaye (PhD)
    The complete set of this project focuses on solvability of the Dirichlet problem of the type _ Δ_ = u=f __ Ω _ = u _Ω and the Neumann problem of the type _ Δ_ = u __ Ω __ __ = ℎ __ _Ω . The explicit solutions of the problem in particular when _ = 0, in elliptic linear operator specifically in Laplace’s operator and also discuss the integral representation for the solution of the Dirichlet problem for harmonic functions in upper half space and in a ball in the whole of ℝ_. Keywords Ball, Dirichlet problem, half space, harmonic functions, integral representation, Neumann problem
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    Solutions to Dirichlet Problem and Neumann Problem
    (Addis Ababa, Ethiopia, 2011) Alemayehu, Mulugeta; Gedif, Tsegaye (PhD)