Hypercyclic Semigroups Generated by Ornstein-Uhlenbeck Operators

被引：25

作者：

Conejero, Jose A. ^{[2
]}

Mangino, Elisabetta M. ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy

[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2010年 / 7卷 / 01期

关键词：

Ornstein-Uhlenbeck operator; chaotic C-0-semigroups; hypercyclic C-0-semigroup; CHAOTIC C-0-SEMIGROUPS; STRUCTURED MODEL; BEHAVIOR; SIZE; SPACES;

D O I：

10.1007/s00009-010-0030-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The chaotic and hypercyclic behavior of the C-0-semigroups of operators generated by a perturbation of the Ornstein-Uhlenbeck operator with a multiple of the identity in L-2(R-N) is investigated. Negative and positive results are presented, depending on the signs of the real parts of the eigenvalues of the matrix appearing in the drift of the operator.

引用

页码：101 / 109

页数：9

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