The non-analytic growth bound of a \(C_{0}\)-semigroup and inhomogeneous Cauchy problems.

DOI10.1016/S0022-0396(03)00195-5zbMath1046.47033OpenAlexW2026096088MaRDI QIDQ1414007

Charles J. K. Batty, Sachi Srivastava

Publication date: 19 November 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00195-5

zbMATH Keywords

resolventsemigroupFourier multipliernon-resonanceinhomogeneous Cauchy problemCarleman spectrumnon-analytic growth boundregularly admissible

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Multipliers in one variable harmonic analysis (42A45)

Related Items (7)

Sharp growth rates for semigroups using resolvent bounds ⋮ Optimal rates of decay for operator semigroups on Hilbert spaces ⋮ A Katznelson-Tzafriri theorem for measures ⋮ Quasi-hyperbolic semigroups ⋮ Non-analytic growth bounds and delay semigroups ⋮ Stability theory for semigroups using \((L^{p},L^{q})\) Fourier multipliers ⋮ Quantified versions of Ingham's theorem

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