Interior Dirichlet Problem and Existence of Results
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Date
2014-08
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Addis Ababa University
Abstract
In this project paper we investigated solution for interior Dirichlet problem as main
parts. First, we showed uniqueness and continuity of Dirichlet problem in bounded region
using maximum and minimum principle. Next, we transform the Laplace equation in two
dimensional Cartesian coordinate to Laplace equation in two dimensional polar coordinate.
Finally, the Dirichlet problem in bounded domain using separation of variable and Fourier
series by appealing to annular region, rectangular region, heat equation and potential theory
were discussed
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Keywords
Interior Dirichlet Problem, Existence of Results