Stability of solutions for nonlinear wave equations with a positive-negative damping

DOI10.3934/DCDSS.2011.4.615zbMath1213.35080OpenAlexW2328323343MaRDI QIDQ631310

Dimitri Mugnai, Genni Fragnelli

Publication date: 22 March 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.615

zbMATH Keywords

Dirichlet problempositive-negative dampingdamped nonlinear wave equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Incremental equations for pre-stressed compressible viscoelastic materials ⋮ Stability results for second-order evolution equations with memory and switching time-delay ⋮ Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms

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