摘要
本文对广义狄利克雷问题进行了研究,通过减弱拉普拉斯方程的解存在性的条件,借助调和函数的基本理论,讨论了广义狄利克雷问题的解存在性及唯一性的不同情形。最后说明了狄利克雷问题与共形映射的等价性。
The passage mainly studies the generalized Dirichlet problem, by weaking weakened the presence condition of the Laplace equation.With the basic theory of harmonic functions, the existence and uniqueness of solutions among different situations for generalized Dirichlet problem is discussed. Finally, it shows the equivalence between the Dirichlet problem conformal mapping.
出处
《科技视界》
2016年第15期158-158,共1页
Science & Technology Vision
关键词
调和函数
广义狄利克雷问题
边界函数
共形映射
Harmonic functions
Generalized Dirichlet problem
Boundary functions
Conformal mapping
