一类三阶复偏微分方程的Schwarz问题  

SCHWARZ PROBLEM FOR A CLASS OF COMPLEX PARTIAL DIFFERENTIAL EQUATIONS OF THIRD ORDER

作　　者：赵桢[1] 

机构地区：[1]北京师范大学数学系

出　　处：《宁夏大学学报（自然科学版）》1998年第1期6-8,共3页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金

摘　　要：研究一类三阶复偏微分方程３Ｗｚ２ｚ＝０，ｚ∈Ｇ解的性质，同时讨论它的Ｓｃｈｗａｒｚ问题的可解性．In this paper the solution of a class of complex partial differential equtions of third order as follows 3W 2z=0, z∈G,where=12x+ i y,z=12x- i y,Δ≡ 2Wz= 2Wz,is considered and the conditions of uniqueness are obtained. Furthermore,the Schwarz problem for them is also considered and some coorespending theorems are obtained.

关 键 词：复偏微分方程 双解析函数 Schwarz问题 

分 类 号：O175.2[理学—数学] O174.5[理学—基础数学]