双调和函数的Dirichlet问题(英)  

DIRICHLET'S PROBLEMS FOR BIHARMONIC FUNCTIONS

作　　者：赵桢[1] 陈方权[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《北京师范大学学报（自然科学版）》1998年第2期174-178,共5页Journal of Beijing Normal University(Natural Science)

摘　　要：讨论了根据给定的双调和函数可以确定一个双解析函数的重要性质（类似于解析函数所具有的性质）．还讨论了双调和函数的Dirichlet问题和变形的Dirichlet问题，并得到了相应的可解性定理．对于双解析函数的Dirichlet问题也得到了相应的可解性结论．Some properties and mechanic illustration of bianalytic functions are considered; Dirichlet's problem and Dirichlet's problem in the changed form for biharmonic functions are introduced, theorems of solvability for them are also obtained. Dirichlet's problem for bianalytic fundtions is also considered and the conclusion of its solvability is obtained.

关 键 词：双调和函数 双解析函数 DIRICHLET问题 

分 类 号：O174.3[理学—数学]