摘要
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系.这一类方程就其形式来说包含了Jian Suwen 所讨论的方程.最后还说明这一类方程柯西问题解的可微性导数亏损次数不完全是由带奇异数的低阶项的系数所决定的.
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.This kind of equation includes the equations discussed by Jian Suwen.Furthermore,we obtain that loss of derivatives of solutions is not all determined by the cofficients of lower term.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1992年第4期37-40,共4页
Journal of Sichuan Normal University(Natural Science)
关键词
奇异系数
弱双曲偏微分方程
柯西问题
低阶项
解的可微性
导数亏损
singular cofficient
weak hyperbolic equation
Cauchy problem
lower term
differentiabbility of solution
loss of derivatives