Polynomial stability of operator semigroups

被引：115
|
作者：
Batkai, Andras
Engel, Klaus-Jochen
Pruess, Jan
Schnaubelt, Roland
机构：
[1] Univ Karlsruhe, Inst Anal, Dept Math, D-76128 Karlsruhe, Germany
[2] Univ Halle Wittenberg, Fb Math & Informat, D-06099 Halle, Germany
[3] Univ Aquila, Dipartimento Matemat, Sez Ingn, I-67040 Roio Poggio, Italy
[4] ELTE TTK, Dept Appl Anal, H-1518 Budapest, Hungary
来源：
MATHEMATISCHE NACHRICHTEN | 2006年 / 279卷 / 13-14期
关键词：
asymptotic behaviour; polynomial stability; C-0-semigroups; spectrum; Laplace transform; normal operators; coupled wave equation;
D O I：
10.1002/mana.200410429
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this property is closely related to polynomial growth estimates of the resolvent of the generator. For systems of commuting normal operators polynomial decay is characterized in terms of the location of the generator spectrum. The results are applied to systems of coupled wave-type equations. (C) 2006 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：1425 / 1440
页数：16
相关论文
共 50 条
12345