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.
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收藏
页码：47 / 59
页数：13
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