摘要
本文讨论一阶奇性拟微分方程的Cauchy问题解的唯一性.其中A,B∈P_s(?)~1.首先证明了算子P的一个Carleman估计,然后利用经典的讨论,证明奇性Cauchy问题的唯一性.
In this paper, the uniqueness of the first order singular pseudo-differential equationis discussed, where P = tDt+tlA+iB, A,B∈OPS11,0 First, the author proves aCarleman estimate of operator P, then the uniqueness of the singular Cauchy problem is also proved by a classical arqument.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
1991年第1期23-28,共6页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
奇性
拟微分算子
C-估计
唯一性
singularities
pseudo-differential operator
Carleman estimate
uniqueness