A note on polynomially growing \(C_{0}\)-semigroups

DOI10.1007/s00233-007-0723-9zbMath1135.47043OpenAlexW1534608519MaRDI QIDQ2461626

Tetyana Lobova, Hans J. Zwart

Publication date: 28 November 2007

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-007-0723-9

zbMATH Keywords

\(C_0\)-semigroupsgrowth estimatespolynomiall boundedness

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Control/observation systems in abstract spaces (93C25) Boundary value problems for functional-differential equations (34K10)

Related Items (8)

Asymptotic completeness in dissipative scattering theory ⋮ On the growth of semigroups and perturbations ⋮ Asymptotic behaviour of \(C_0\)-semigroups and \(\gamma\)-boundedness of the resolvent ⋮ Growth order and stability of semigroups and cosine operator functions ⋮ Growth bounds for \(\alpha \)-times resolvent families ⋮ Sharp growth rates for semigroups using resolvent bounds ⋮ Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors ⋮ Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

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