Sharp estimates of the energy for the solutions of some dissipative second order evolution equations

DOI10.1007/BF00269511zbMath0803.35090OpenAlexW2018698233MaRDI QIDQ1202913

Ana Carpio

Publication date: 26 May 1993

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00269511

zbMATH Keywords

energy decaydissipative second order evolution equationspolynomial and exponential damping terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (5)

A new method to obtain decay rate estimates for dissipative systems ⋮ Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations ⋮ Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain ⋮ New trends towards lower energy estimates and optimality for nonlinearly damped vibrating systems ⋮ Stabilization of the wave equation with localized nonlinear damping

Cites Work

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• Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
• Dual variational methods in critical point theory and applications
• On continuity of functions with values in various Banach spaces
• Problèmes unilateraux

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