One Class of Linearly Growing C_0-Groups

DOI10.15407/MAG17.04.509OpenAlexW4200124193MaRDI QIDQ5087695

Vitalii Marchenko, Piotr Polak, Grigory M. Sklyar

Publication date: 1 July 2022

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag17.04.509

zbMATH Keywords

linear growth\(C_0\)-groupmaximal asymptoticsXYZ theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) One-parameter semigroups and linear evolution equations (47D06) Banach sequence spaces (46B45) Linear differential equations in abstract spaces (34G10)

Cites Work

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• The energy space and norm growth for abstract wave equations
• The expansion of a semigroup and a Riesz basis criterion
• Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem
• Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors
• On asymptotic estimation of a discrete type \(C_0\)-semigroups on dense sets: application to neutral type systems
• STABILITY OF UNCONDITIONAL SCHAUDER DECOMPOSITIONS IN SPACES
• Hardy inequality and the construction of the generator of aC₀-group with eigenvectors not forming a basis
• Stability of Riesz bases
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
• \(C_0\)-groups with polynomial growth

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