摘要
本文证明了半线性定常重特征双曲方程的Cauchy问题的解的局部存在性,并得到了通过一个C^2超曲面的弱正则性传播的结果。
It is proved in this paper that there exist the local solutions of the Chauchy problem for the semilinear hyperbolic operators with constant multiple characteristics. It is also revealed that a weak regularity for the semiliear equations can propagate through a C^2 hypersurface.
关键词
半线性
偏微分方程
局部解
operator with constant multiple characteristics
Local solution
Local propagation of singularities
