Pseudospectra of differential operators

被引：0
|
作者：
Davies, EB [1 ]
机构：
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
来源：
JOURNAL OF OPERATOR THEORY | 2000年 / 43卷 / 02期
关键词：
spectrum; pseudospectrum; norms of inverses; resolvent operators; differential operators;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the pseudospectral theory of a variety of non-selfadjoint constant coefficient and variable coefficient differential operators, showing that the phenomenon of non-trivial pseudospectra is typical rather than exceptional. We prove that the pseudospectra provide more stable information about the operators under various limiting procedures than does the spectrum.
引用
收藏
页码：243 / 262
页数：20
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