非光滑系数的一类非狭义主型拟微分算子方程解的奇性传播及应用

Propagation of singularities for a class pseudo-differential equation of non-narrow principal type with non-smooth coefficients and its application

本文讨论一类带非光滑系数的非狭义主型拟微分算子方程解的奇性传播并且给出它对半线性非狭义主型方程的应用。

The aim of this paper is to investigate the propagation of singularities for a classLinear pseudo-differential equation of non-narrow principal type with non-smooth coe-fficients,and use the above to study propagation of singularities for Semilinear equa-tion.