Fine scales of decay of operator semigroups

被引：67

作者：

Batty, Charles J. K. ^{[1
]}

Chill, Ralph ^{[2
]}

Tomilov, Yuri ^{[3
]}

机构：

[1] St Johns Coll, Oxford OX1 3JP, England

[2] Tech Univ Dresden, Inst Anal, D-01062 Dresden, Germany

[3] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

LOCAL ENERGY DECAY; TAUBERIAN-THEOREMS; WAVE-EQUATIONS; ASYMPTOTIC-BEHAVIOR; SPECTRAL-ANALYSIS; EULER-BERNOULLI; STABILIZATION; STABILITY; REGULARITY; INTEGRALS;

D O I：

10.4171/JEMS/605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent interest.

引用

页码：853 / 929

页数：77

共 68 条

[1] INDIRECT STABILIZATION OF WEAKLY COUPLED SYSTEMS WITH HYBRID BOUNDARY CONDITIONS [J].