Operator valued Fourier multipliers and stability of strongly continuous semigroups

DOI10.1007/S00020-004-1349-XzbMath1077.47042OpenAlexW2162973506MaRDI QIDQ1774005

Yuri Latushkin, Frank Räbiger

Publication date: 29 April 2005

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-004-1349-x

zbMATH Keywords

transfer functioninput-output stabilityasymptotics for strongly continuous semigroupsoperator valued Fourier multipliers

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)

Related Items (7)

The non-analytic growth bound of a \(C_{0}\)-semigroup and inhomogeneous Cauchy problems. ⋮ Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces. ⋮ Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time ⋮ A semigroup characterization of well-posed linear control systems ⋮ Quasi-hyperbolic semigroups ⋮ Maximal regularity of second order delay equations in Banach spaces ⋮ Stability theory for semigroups using \((L^{p},L^{q})\) Fourier multipliers

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