象征算子的紧算子逼近算法和逼近速度

Symbol Operator and the Speed of ApproximAtion by Compact Operator

传统的微分方程的方法是利用Taylor展开用主象征逼近象征;本文用充分好的紧算子来逼近象征算子,并且逼近算子在算子范数意义下快速逼近原来的算子.

In the traditional PDE problem, one approximates symbol by principal symbol in Taylor decomposition＇s way. In this paper, we apply appropriate wavelets to approximate the symbol operator by a very good compact operator, and such an operator converges very fast to the original symbol operator in the sense of operator＇s continuitv norm.