摘要
本文在余法分布空间的框架下,介绍了半线性偏微分方程弱奇性波的传播与相交模型,导出了在不同的问题讨论中余法分布空间的定义与性质,并给出了主要定理的证明。
In this paper, the models about the propagation and interaction of weak singularities wave for a scmilinear partial differential equations are introduced under the frame of spaces of conormal distributions. The definitions and properties of spaces of conormal distributions are derived in discussing of various problem and the main theorem is proved.
关键词
半线性
偏微分方程
奇性传播
semilinear partial differential equations
spaces of conormal distributions
propagation of singularities
interaction of singularities
