FLOQUET REPRESENTATIONS AND ASYMPTOTIC BEHAVIOR OF PERIODIC EVOLUTION FAMILIES

被引：0

作者：

Bayazit, Fatih ^{[1
]}

Groh, Ulrich ^{[1
]}

Nagel, Rainer ^{[1
]}

机构：

[1] Univ Tubingen, Math Nat Wissensch Fak, D-72076 Tubingen, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 11-12期

关键词：

Nonautonomous abstract Cauchy problems; evolution semigroups; periodic evolution families; asymptotic behavior; Floquet theory;

D O I：

10.3934/dcds.2013.33.4795

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use semigroup techniques to describe the asymptotic behavior of contractive, periodic evolution families on Hilbert spaces. In particular, we show that such evolution families converge almost weakly to a Floquet representation with discrete spectrum.

引用

页码：4795 / 4810

页数：16

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