Behavior of Kreiss bounded \(C_0\)-semigroups on a Hilbert space

DOI10.1007/s43036-022-00223-zOpenAlexW4302299223MaRDI QIDQ2095795

Yanyan Li

Publication date: 15 November 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10426

zbMATH Keywords

\(C_0\)-semigroupKreiss conditionperturbed wave equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Discussing semigroup bounds with resolvent estimates ⋮ Growth rate of eventually positive kreiss bounded \(C_0\)-semigroups on \(L^p\) and \(\mathcal{C}(K)\)

Cites Work

• Stability of operators and operator semigroups
• Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
• Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space
• Sharp growth rates for semigroups using resolvent bounds
• On the linear stability of hyperbolic PDEs and viscoelastic flows
• Improving semigroup bounds with resolvent estimates
• Resolvent conditions and growth of powers of operators
• Vector-valued Laplace Transforms and Cauchy Problems
• Continuous-time Kreiss resolvent condition on infinite-dimensional spaces

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