Interior Dirichlet Problem and Existence of Results

No Thumbnail Available

Date

2014-08

Journal Title

Journal ISSN

Volume Title

Publisher

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

Description

Keywords

Interior Dirichlet Problem, Existence of Results

Citation

Collections