A sharp ultimate bound of the solutions to some second-order evolution equations with nonlinear damping

DOI10.1017/S0308210515000153zbMath1335.35161OpenAlexW2485873306MaRDI QIDQ3452139

Faouzia Aloui

Publication date: 18 November 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210515000153

zbMATH Keywords

ultimate boundednessbounded forcing term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Second-order hyperbolic equations (35L10) Abstract hyperbolic equations (35L90)

Related Items (1)

Ultimate bound of solutions to second-order evolution equation with nonlinear damping term

Cites Work

• Compactness of trajectories to some nonlinear second order evolution equations and applications
• Decay estimates for some semilinear damped hyperbolic problems
• Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms
• Asymptotic behavior for an almost periodic, strongly dissipative wave equation
• Solutions faibles d'équations d'évolution dans les espaces de Hilbert. (Weak solution of evolution equations in Hilbert spaces)
• Dissipativity in the sense of Levinson for a class of second—order nonlinear evolution equations

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