平面Poisson外边值问题

Plane Poisson Exterior Boundary Value Problems

证明平面调和函数的Dirichlet外问题解存在唯一的充要条件 ;在此基础上 ,建立Laplace和Poisson外问题的等价边界积分方程 ;通过实例对传统的边界积分方程进行了讨论 。

Anecessary and sufficient condition ensuring the existenc e and uniqueness of solution for plane harmo nious Dirichlet exterior problems is provided and fully proved in this paper.Based on the result,the equivalent boundary integral equations (EBIE) with direct variables for Laplace's and Po isson'sexterior problems are es tablished.The conventionally prevailing BIE is discussed thoroughly by some examples.It is shown that the previous results are universally practical.