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
收藏
页码：4795 / 4810
页数：16
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