Improving Semigroup Bounds with Resolvent Estimates - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Integral Equations and Operator Theory Année : 2021

Improving Semigroup Bounds with Resolvent Estimates

Résumé

The purpose of this paper is to revisit the proof of the Gearhart- Priiss-Huang-Greiner theorem for a semigroup S(t), following the general idea of the proofs that we have seen in the literature and to get an explicit estimate on parallel to S(t)parallel to in terms of bounds on the resolvent of the generator. A first version of this paper was presented by the two authors in ArXiv (2010) together with applications in semi-classical analysis and some of these results has been subsequently published in two books written by the authors. Our aim is to present new improvements, partially motivated by a paper of D. Wei. On the way we discuss optimization problems confirming the optimality of our results.
Fichier non déposé

Dates et versions

hal-03302132 , version 1 (27-07-2021)

Identifiants

Citer

Bernard Helffer, Johannes Sjostrand. Improving Semigroup Bounds with Resolvent Estimates. Integral Equations and Operator Theory, 2021, 93 (3), pp.36. ⟨10.1007/s00020-021-02652-6⟩. ⟨hal-03302132⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More