We provide a growth bound for the operator norm of C0-semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super-linear resolvent growths, our estimate is sharper than the ones currently available in the literature.
A remark on the growth rate of operator semigroups under resolvent bounds
Dell'Oro, Filippo
2025-01-01
Abstract
We provide a growth bound for the operator norm of C0-semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super-linear resolvent growths, our estimate is sharper than the ones currently available in the literature.File in questo prodotto:
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