Clifford分析中无界域上正则函数向量的边值问题

The Boundary Value Problem for Regular Function Vectors on Unbounded Domains in Clifford Analysis

得到了在Clifford分析中函数向量在无界域上的Plemelj公式,利用Plemelj公式将边界条件转化成积分方程,对模进行估计,应用不动点定理得到了Clifford分析中无界域上正则函数向量的带共轭的边值问题解的存在唯一性.

First,the Plemelj formula of the regular function vectors on unbounded domains in Clifford analysis is gotten, then the boundary condition is transformed into the integral equation and the model is estimated, finally by the compressed fixed point theorem the existence and the uniqueness of the solution to the boundary value problem with conjugate value for regular function vectors on unbounded domains in Clifford analysis is gotten.