Asymptotic stability of semigroups associated to linear weak dissipative systems

DOI10.1016/j.mcm.2003.10.048zbMath1074.47018OpenAlexW1976905589MaRDI QIDQ1764989

J. C. Bravo Vila, Jaime Edilberto Muñoz Rivera, Ademir Fernando Pazoto

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.10.048

zbMATH Keywords

stabilityCauchy problemsemigroupsdissipative systemsdecay rate

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (9)

Asymptotic stability of semigroups associated with linear weak dissipative systems with memory ⋮ Abstract wave equations and associated Dirac-type operators ⋮ Asymptotics of viscoelastic materials with nonlinear density and memory effects ⋮ The damped string problem revisited ⋮ DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION ⋮ ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS ⋮ GLOBAL EXISTENCE AND DECAY OF SOLUTIONS FOR A QUASI-LINEAR DISSIPATIVE PLATE EQUATION ⋮ Spatial behavior for a fourth-order dispersive equation ⋮ New general decay results in an infinite memory viscoelastic problem with nonlinear damping

Cites Work

• Stability of wave equations with dissipative boundary conditions in a bounded domain
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
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