caa a22 4500 606244379 CHVBK 20210128101330.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s12044-015-0210-2 doi (NATIONALLICENCE)springer-10.1007/s12044-015-0210-2 KUO CHUNG-CHENG Department of Mathematics, Fu Jen University, 24205, New Taipei City, Taiwan, Republic of China aut Multiplicative perturbations of local C -semigroups [Elektronische Daten] [CHUNG-CHENG KUO] In this paper, we establish some left and right multiplicative perturbation theorems concerning local C-semigroups when the generator A of a perturbed local C-semigroup S(⋅) may not be densely defined and the perturbation operator B is a bounded linear operator from D ( A ) ¯ $\overline {D(A)}$ into R(C) such that C B=B C on D ( A ) ¯ $\overline {D(A)}$ , which can be applied to obtain some additive perturbation theorems for local C-semigroups in which B is a bounded linear operator from [D(A)] into R(C) such that C B=B C on D ( A ) ¯ $\overline {D(A)}$ . We also show that the perturbations of a (local) C-semigroup S(⋅) are exponentially bounded (resp., norm continuous, locally Lipschitz continuous, or exponentially Lipschitz continuous) if S(⋅) is. Indian Academy of Sciences, 2015 Local C -semigroup nationallicence generator nationallicence abstract Cauchy problem nationallicence perturbation nationallicence Proceedings - Mathematical Sciences Springer India 125/1(2015-02-01), 45-55 0253-4142 125:1<45 2015 125 12044 https://doi.org/10.1007/s12044-015-0210-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0210-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- KUO CHUNG-CHENG Department of Mathematics, Fu Jen University, 24205, New Taipei City, Taiwan, Republic of China aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/1(2015-02-01), 45-55 0253-4142 125:1<45 2015 125 12044