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On the spectrum determined growth assumption and the perturbation of C-0 semigroups
Xu, GQ; Feng, DX
2001-03-01
Source PublicationINTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN0378-620X
Volume39Issue:3Pages:363-376
AbstractThe spectrum determined growth property of C-0 semigroups in a Banach space is studied. It is shown that if A generates a C-0 semigroup in a Banach space X, which satisfies the following conditions: 1) for any sigma > s(A), sup{\\R(lambda; A)\\ / Re lambda greater than or equal to sigma} < ; 2) there is a sigma (0) > omega (A) such that integral (+infinity)(-infinity+) \\R(sigma (0) + i tau; A)x\\(2)d tau < , For Allx is an element of X, and integral (+infinity)(-infinity) \\R(sigma (0) + i tau; A*)f\\2d tau < , For Allf is an element of X*, then omega (A) = s(A). Moreover, it is also shown that if A = A(0) + B is the infinitesimal generator of a C-0 semigroup in Hilbert space, where A(0) is a discrete operator and B is bounded, then omega (A) = s(A). Finally the results obtained are applied to wave equation and thermoelastic system.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000167993300008
PublisherBIRKHAUSER VERLAG AG
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16359
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Control, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xu, GQ,Feng, DX. On the spectrum determined growth assumption and the perturbation of C-0 semigroups[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY,2001,39(3):363-376.
APA Xu, GQ,&Feng, DX.(2001).On the spectrum determined growth assumption and the perturbation of C-0 semigroups.INTEGRAL EQUATIONS AND OPERATOR THEORY,39(3),363-376.
MLA Xu, GQ,et al."On the spectrum determined growth assumption and the perturbation of C-0 semigroups".INTEGRAL EQUATIONS AND OPERATOR THEORY 39.3(2001):363-376.
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