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- W2899367246 abstract "Let $(T(t))_{tgeq 0}$ be a $C_0$ semigroup on a Banach space $X$ with infinitesimal generator $A$. In this work, we give conditions for which the spectral mapping theorem $sigma_{*}(T(t))backslash {0}={e^{lambda s}, lambdainsigma_{*}(A)}$ holds, where $sigma_*$ can be equal to the essential, Browder and Kato spectrum. Also, we will be interested in the relations between the spectrum of $A$ and the spectrum of the nth derivative $T(t)^{(n)}$ of a differentiable $C_0$ semigroup $(T(t))_{tgeq0}$." @default.
- W2899367246 created "2018-11-09" @default.
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- W2899367246 date "2018-11-05" @default.
- W2899367246 modified "2023-09-27" @default.
- W2899367246 title "Spectral mapping theorems of differentiable C0 semigroups" @default.
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