摘要
本文讨论半线性严格双曲拟微分方程的 H<sup>传</sup>播理论,得到了这种方程的(粗略地)强度为3<sub>8</sub>—n的微局部正则性将沿零次特征传播.
The aim of this paper is to discuss the propagation of smoothness for semilinear strictly hyperbolic equations P_2(x,
D)u=f(x,u)and P_2(x,D)u=f(x,u,Dn),Where P_2(x,D)is second-order strictly hyperbolic pseudedifferential opera-
tor.The result of strength 3S-n roughly for the propagation of singularities is obtained.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1990年第3期18-25,共8页
Journal of Sichuan Normal University(Natural Science)
关键词
半线性方程
严格双曲
拟微分方程
光滑传播
Semilinear equation
strictly hyperbolic pseudodifferential equation
propagation of smoothness.