摘要
主要讨论了Hilbert空间中Co-半群族Th(t)指数稳定问题,证明了满足||Th(t)||≤Meσt(M,σ与h无关)的半群族Th(t)指数稳定与弱Lp-稳定是等价的,并且给出了另外的三个判定Th(t)指数稳定的等价条件.
In this paper, we discuss the problem on exponential of a family {Th(t)} of strongly continuous semigroups in Hilbert space. We prove the exponential stability of {Th(t)} is equivalent to its weak Lp -stability of {Th(t)} and also give other three necessary and sufficient conditions on the exponential stability of {Th(t)}.
出处
《应用泛函分析学报》
CSCD
2002年第3期267-273,共7页
Acta Analysis Functionalis Applicata
关键词
C0-半群族
指数稳定
弱L^p-稳定
无穷小生成元
family of cc -semigroups
exponential stability
weak Lp -stability
the infinitesimal generator
