象征算子的紧算子逼近算法和逼近速度

杨奇祥;

数学学报 ›› 2007, Vol. 50 ›› Issue (5) : 999-100.

PDF(447 KB)
PDF(447 KB)
数学学报 ›› 2007, Vol. 50 ›› Issue (5) : 999-100. DOI: 10.12386/A2007sxxb0117
论文

象征算子的紧算子逼近算法和逼近速度

    杨奇祥;
作者信息 +

Symbol Operator and the Speed of ApproximAtion by Compact Operator

    Qi Xiang YANG
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文章历史 +

摘要

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.

Abstract

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 continuity norm.

关键词

紧算子 / 小波 / Hrmander象征类

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杨奇祥;. 象征算子的紧算子逼近算法和逼近速度. 数学学报, 2007, 50(5): 999-100 https://doi.org/10.12386/A2007sxxb0117
Qi Xiang YANG. Symbol Operator and the Speed of ApproximAtion by Compact Operator. Acta Mathematica Sinica, Chinese Series, 2007, 50(5): 999-100 https://doi.org/10.12386/A2007sxxb0117
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