Solutions to Dirichlet Problem and Neumann Problem
dc.contributor.advisor | Gedif, Tsegaye (PhD) | |
dc.contributor.author | Alemayehu, Mulugeta | |
dc.date.accessioned | 2018-07-17T07:15:10Z | |
dc.date.accessioned | 2023-11-04T12:30:39Z | |
dc.date.available | 2018-07-17T07:15:10Z | |
dc.date.available | 2023-11-04T12:30:39Z | |
dc.date.issued | 2011-01 | |
dc.description.abstract | 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 | en_US |
dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/8917 | |
dc.language.iso | en | en_US |
dc.publisher | Addis Ababa University | en_US |
dc.subject | Dirichlet problem | en_US |
dc.subject | half space | en_US |
dc.subject | harmonic functions | en_US |
dc.subject | integral representation | en_US |
dc.subject | Neumann problem | en_US |
dc.title | Solutions to Dirichlet Problem and Neumann Problem | en_US |
dc.type | Thesis | en_US |