Three-Dimensional and Axisymmetric Potential Problems

摘要: In this lecture we consider briefly the solution of Laplace’s equation in three dimensions: $$[\frac{{{\partial ^2}\phi }}{{\partial {{\text{x}}^{\text{2}}}}} + \frac{{{\partial {{\text{y}}^{\text{2}}}}} {{\text{z}}^{\text{2}}}}} = 0$$ (1) , by methods analogous to those applied two-dimensional problems preceding lecture. particular, discuss application simple-layer Newtonian potential Dirichlet problem.