Equações diferenciais parcias e a solução do Problema de Dirichlet.

Abstract

The main goal in this article is presenting the classic methods to solve the Dirichlet problem for the Laplace equation (1.0). We also treat the non homogeneous Dirichlet problem. Laplace equation appears in the formulation of several physical models, as: electrostatic and magnetostatic phenomenon, movement of fluids and gravitational field potentials.