×

A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups. (English) Zbl 1106.47039

The authors give a Miyadera type perturbation result for local \(C\)-regularized semigroups; the original Miyadera perturbation theorem for \(C_0\)-semigroups can be obtained as a corollary. The result presented in this paper is also suitable for non-exponentially-bounded regularized semigroups, while previous generalizations of Miyadera’s results are mainly applicable only for exponentially bounded operator families.

MSC:

47D60 \(C\)-semigroups, regularized semigroups
47D06 One-parameter semigroups and linear evolution equations
34G10 Linear differential equations in abstract spaces

Citations:

Zbl 0193.10902
PDFBibTeX XMLCite
Full Text: DOI