Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/71165
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dc.contributor.authorLi, Y.C.en_US
dc.contributor.authorShaw, S.Y.en_US
dc.date2007zh_TW
dc.date.accessioned2014-06-11T06:00:58Z-
dc.date.available2014-06-11T06:00:58Z-
dc.identifier.issn0002-9939zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/71165-
dc.description.abstractLet S(center dot) be a (C-0)- group with generator -B, and let {T(t); 0 <= t <tau} be a local C-semigroup commuting with S(center dot). Then the operators V(t):= S(-t)T(t), 0=t <tau, form a local -semigroup. It is proved that if C is injective and A is the generator of T(center dot), then A+B is closable and (A+B) over bar is the generator of V(center dot). Also proved are a characterization theorem for local C-semigroups with C not necessarily injective and a theorem about solvability of the abstract inhomogeneous Cauchy problem: u'(t)=Au(t)+Cf( t), 0 < t < t; u(0)=Cx.en_US
dc.language.isoen_USzh_TW
dc.relationProceedings of the American Mathematical Societyen_US
dc.relation.ispartofseriesProceedings of the American Mathematical Society, Volume 135, Issue 4, Page(s) 1097-1106.en_US
dc.relation.urihttp://dx.doi.org/10.1090/s0002-9939-06-08549-2en_US
dc.subjectlocal C-semigroupen_US
dc.subject(C-0)-groupen_US
dc.subjectgeneratoren_US
dc.subjectperturbationen_US
dc.subjectcauchy-problemen_US
dc.subjectregularized semigroupsen_US
dc.subjectcosine functionsen_US
dc.subjecttheoremen_US
dc.titleOn characterization and perturbation of local C-semigroupsen_US
dc.typeJournal Articlezh_TW
dc.identifier.doi10.1090/s0002-9939-06-08549-2zh_TW
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