摘要
主要讨论了自反Banach空间中一类C0-半群族{Th(t)}稳定性问题,证明了此类半群族{Th(t)}指数稳定与弱Lp-稳定是等价的.
We discuss the problem on exponential of a family {Th（t）} of strongly continuous semigroups on reflexive Banach space. We prove the exponential stability of {Th （t）} is equivalent to its weakly L^p -stability.
出处
《应用泛函分析学报》
CSCD
2006年第4期341-343,共3页
Acta Analysis Functionalis Applicata
关键词
C0-半群族
指数稳定
弱Lp-稳定
无穷小生成元
family of C0 -semigroups
exponential stability
weakly L^p -stability
the infinitesimalgenerator
