Stability of Solutions for Some Classes of Nonlinear Damped Wave Equations

DOI10.1137/070689735zbMath1176.35026OpenAlexW2032750213WikidataQ59421060 ScholiaQ59421060MaRDI QIDQ3399254

Dimitri Mugnai, Genni Fragnelli

Publication date: 29 September 2009

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8e43593891a57fb9b85378fed2ffe7e4c1ef26ba

zbMATH Keywords

on-off dampingdamped nonlinear wave equationsintegrally positive damping

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

Incremental equations for pre-stressed compressible viscoelastic materials ⋮ On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping ⋮ Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping ⋮ Well-posedness and regularity for fractional damped wave equations ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms

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