Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications

DOI10.1016/j.jmaa.2006.05.050zbMath1110.47034OpenAlexW2006115341WikidataQ57588494 ScholiaQ57588494MaRDI QIDQ864686

Siu Pang Yung, Gen-Qi Xu

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.050

zbMATH Keywords

differentiabilitywave equationexpansioncompactness\(C_{0}\) semigroups

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Spectral representation of the resolvent of a discrete operator
• Spectral decomposition of a Hilbert space by a Fredholm operator
• On the characterization of eventually norm continuous semigroups in Hilbert spaces
• Eventually norm continuous semigroups on Hilbert space and perturbations.
• The expansion of a semigroup and a Riesz basis criterion
• Norm continuity and related notions for semigroups on Banach spaces
• Asymptotic solutions of characteristic equations
• An asymptotic expansion in the theory of neutron transport
• The closure of the generalised eigenspace of a class of infinitesimal generators
• Characteristic Conditions for a c 0 -Semigroup with Continuity in the Uniform Operator Topology for t > 0 in Hilbert Space
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control

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