Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators

被引：21

作者：

Kalmes, T. ^{[1
]}

机构：

[1] Univ Trier, FB Math 4, D-54286 Trier, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Hypercyclicity; Mixing; Transitivity; Cosine operator functions; BANACH-SPACES; CHAOTIC SEMIGROUPS; C-0-SEMIGROUPS; FAMILIES;

D O I：

10.1016/j.jmaa.2009.10.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Omega subset of R(d) open, we characterize when cosine operator functions generated by second order partial differential operators on L(p) (Omega, mu) and C(0,rho) (Omega). respectively, are hypercyclic and prove that this happens if and only if they are weakly mixing. In the case of d = 1 we give an easy to check characterization of when this happens. Moreover, mixing of these cosine operator functions is also characterized. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：363 / 375

页数：13

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