Optimal polynomial decay of functions and operator semigroups

被引：516

作者：

Borichev, Alexander ^{[2
]}

Tomilov, Yuri ^{[1
,3
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Univ Aix Marseille 1, Ctr Math & Informat, F-13453 Marseille, France

[3] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

MATHEMATISCHE ANNALEN | 2010年 / 347卷 / 02期

关键词：

LOCAL ENERGY DECAY; TAUBERIAN-THEOREMS; WAVE-EQUATIONS; STABILITY;

D O I：

10.1007/s00208-009-0439-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the polynomial decay of orbits of Hilbert space C-0-semigroups in resolvent terms. We also show that results of the same type for general Banach space semigroups and functions obtained recently in Batty and Duyckaerts (J Evol Eq 8: 765-780, 2008) are sharp. This settles a conjecture posed in Batty and Duyckaerts (2008).

引用

页码：455 / 478

页数：24

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