Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/70486
標題: Perturbation of non-exponentially-bounded alpha-times integrated C-semigroups
作者: Li, Y.C.
Shaw, S.Y.
關鍵字: (C-0)-group
alpha-times integrated C-semigroup
subgenerator
generator
perturbation theorem
abstract cauchy-problem
laplace transforms
cosine functions
hille-yosida
期刊/報告no:: Journal of the Mathematical Society of Japan, Volume 55, Issue 4, Page(s) 1115-1136.
摘要: Let T(.) be a (not necessarily exponentially bounded, not necessarily nondegenerate) alpha-times integrated C-semigroup and let -B be the generator of a (C-0)-group S(.) commuting with T(.) and C. Under suitable conditions on T(.) and S(.) we prove the existence of an alpha-times integrated C-semigroup V(.), which has generator (A+B) over bar provided that T(.) is nondegenerate and has generator A. Explicit expressions of V(.) in terms of T(.) and S(.) are obtained. In particular, when B is bounded, V(.) can be constructed by means of a series in terms of T(.) and powers of B.
URI: http://hdl.handle.net/11455/70486
ISSN: 0025-5645
文章連結: http://dx.doi.org/10.2969/jmsj/1191418767
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