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Stability theory for semigroups using (Lp,Lq) Fourier multipliers

Rozendaal, Jan; Veraar, Mark


We study polynomial and exponential stability for C0-semigroups using the recently developed theory of operator-valued (Lp,Lq) Fourier multipliers. We characterize polynomial decay of orbits of a C0-semigroup in terms of the (Lp,Lq) Fourier multiplier properties of its resolvent. Using this characterization we derive new polynomial decay rates which depend on the geometry of the underlying space. We do not assume that the semigroup is uniformly bounded, our results depend only on spectral...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
Source: Journal of Functional Analysis
DOI: 10.1016/j.jfa.2018.06.015
Access Rights: Open Access


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