一个重特征方程的一类定解问题

On the Well Posed Problems for a Class of PDE with Double Characteristics

中文摘要:

      本文提出了当p=2h 1(h≥0为整数)时,重特征方程 L_pu≡u_xx-x²u_ii pu_i=0 的一类新的定解问题,证明其适定性,推广了[2]、[3]和[4]中的相应结果。

英文摘要:

      In^[1]、[2], F. Treves and G.Y.Wang at. al. have studied the following equation L_pu≡u_xx-x²u_ii pu_i=0, where p stands for a real parameter; They proved that both the Cauchy problem and Goursat problem have a unique solution if and only if p = 2h l. where h≥0 is an integer.