一个重特征算子方程解的奇性传播  

ON THE PROPAGATION OF SINGULARITIES FOR SALUTION TO A MULTI-CHARACTERISTIC OPERATOR

作　　者：余喜章[1] 杜心华[1] 

机构地区：[1]四川师范大学数学系

出　　处：《四川师范大学学报（自然科学版）》1990年第1期6-9,共4页Journal of Sichuan Normal University（Natural Science）

摘　　要：本文用类似于Beals和Reed的方法,讨论了一类二阶重特征算子方程L■=n_u+in(t)n_z+b(t)n_t+c(t)n=f(x)解的奇性传播,所得结果是:解的奇性沿着零次特征带传播。对重特征方程来说,这种现象还所知甚少。联系到有人研究过算子L 的局部可解性,可以认为,这类算子的研究具有典型性。On a similar method of Beals and Reed's,this paper discusses the propagation of singularities forsolution of a multi-characteristic equation Lu=u(?)+ia(t)u_z+b(t)u(?)+c(t)u=f(x).The result is:Thesingularities of solution for multi-characteristic propagate along null bicharacteristic strip.For the mul-ti-characteristic equation,this phenomena is hardly ever known yet.Considering the Study about the lo-cal solvability of operator L,the Study about this kind of L possesses probably typical property.

关 键 词：重特征算子 奇性传播 零次特征带 

分 类 号：N55，G658.3[自然科学总论]