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

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.