Exponential stability of semigroups associated with some operator models in mechanics.

DOI10.1023/A:1024052419431zbMath1061.34042OpenAlexW135558868MaRDI QIDQ1889460

R. O. Griniv, A. A. Shkalikov

Publication date: 2 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024052419431

zbMATH Keywords

exponential stabilitysemigroupHilbert spaceselfadjoint operatorenergy spacedissipative operatorgeneralized spectrum

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Related Items (9)

Spectral analysis of operator polynomials and higher-order difference operators ⋮ Structure-preserving approximation of distributed-parameter second-order systems using Krylov subspaces ⋮ Exponential stability of a certain semigroup and applications ⋮ Abstract wave equations and associated Dirac-type operators ⋮ Spectral analysis of operator polynomials and second-order differential operators ⋮ The damped string problem revisited ⋮ Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics ⋮ Second order linear evolution equations with general dissipation ⋮ Spectral theory for operator matrices related to models in mechanics

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