Chaos for semigroups of unbounded operators

被引：25

作者：

deLaubenfels, R

Emamirad, H

Grosse-Erdmann, KG ^{[1
]}

机构：

[1] Fernuniv, Fachbereich Math, D-58084 Hagen, Germany

[2] Scientia Res Inst, Guysville, OH 45735 USA

[3] Univ Poitiers, Lab Modelisat Mecan & Math Appl, F-86960 Futuroscope, France

来源：

MATHEMATISCHE NACHRICHTEN | 2003年 / 261卷

关键词：

hypercyclic and chaotic semigroups; C-regularized semigroups; regular distribution semigroups;

D O I：

10.1002/mana.200310112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize the notion of hypercyclic and chaotic semigroups to families of unbounded operators. We study this concept within the frameworks of C-regularized semigroups and of regular distribution semigroups. We then apply our results to unbounded semigroups generated by differential operators with constant coefficients in weighted spaces and to the unbounded semigroup {(-Delta)(t)}(tgreater than or equal to0), where Delta is the Laplacian operator. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：47 / 59

页数：13

共 28 条

[1] On the existence of chaotic and hypercyclic semigroups on banach spaces [J].