Long time asymptotics for 2 by 2 hyperbolic systems

DOI10.1016/j.jde.2010.08.001zbMath1213.35293OpenAlexW2089699345MaRDI QIDQ619867

Marcello D'Abbicco, Michael Reissig

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.001

zbMATH Keywords

hyperbolic systemsscattering theorylong time asymptoticsgeneralized energy conservation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

On \(t\)-dependent hyperbolic systems. II. ⋮ The influence of a nonlinear memory on the damped wave equation ⋮ A class of dissipative wave equations with time-dependent speed and damping ⋮ Response solutions for wave equations with variable wave speed and periodic forcing ⋮ Blow-up of the energy at infinity for 2 by 2 systems ⋮ Critical counterexamples for linear wave equations with time-dependent propagation speed

Cites Work

• \(L^p\)-\(L^q\) estimate for wave equation with bounded time dependent coefficient
• Energy estimates at infinity for hyperbolic equations with oscillating coefficients
• Generalised energy conservation law for wave equations with variable propagation speed
• \(L^p\)-\(L^q\) estimates for regularly linear hyperbolic systems
• On the asymptotic behavior of the energy for the wave equations with time depending coefficients
• The log-effect for \(2\) by \(2\) hyperbolic systems
• Unnamed Item

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