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math.FA2023
Stability estimates for semigroups in the Banach case
Bernard Helffer
The purpose of this paper is to revisit previous works of the author with J. Sjöstrand (2010--2021) proved in the Hilbert case by considering the Banach case at the light of a pape…
math.FA2023
Discussing semigroup bounds with resolvent estimates
Bernard Helffer, Johannes Sjöstrand, Joe Viola
The purpose of this paper is to revisit the proof of the Gearhart-Prüss-Huang-Greiner theorem for a semigroup , following the general idea of the proofs that we have seen in…