Asymptotically free property of the solutions of an abstract linear hyperbolic equation with time-dependent coefficients

DOI10.3233/ASY-151354zbMath1343.35174arXiv1505.05600MaRDI QIDQ2816230

Taeko Yamazaki

Publication date: 4 July 2016

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

Full work available at URL: https://arxiv.org/abs/1505.05600

zbMATH Keywords

asymptotic behaviorwave speeddissipative hyperbolic equationabstract linear hyperbolic equationasymptotically free propertyno energy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Abstract hyperbolic equations (35L90)

Related Items (1)

Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations

Cites Work

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• On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions
• Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations
• Dispersive estimates for hyperbolic systems with time-dependent coefficients
• Asymptotic behaviour as \(t \to +\infty\) of the solutions of linear hyp equations with coefficients discontinuous in time (on a bounded domain)
• Asymptotic profiles for the Kirchhoff equation
• Asymptotic behaviour for wave equation with time-dependent coefficients
• Scattering for strictly hyperbolic systems with time-dependent coefficients
• Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation
• Asymptotic Integrations of the Adiabatic Oscillator

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