Blow-up of the energy at infinity for 2 by 2 systems

DOI10.1016/J.JDE.2011.08.033zbMath1233.35034OpenAlexW2087762112MaRDI QIDQ649765

Michael Reissig, Marcello D'Abbicco

Publication date: 6 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.033

zbMATH Keywords

hyperbolic systemsoptimalitygeneralized 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 (2)

The influence of a nonlinear memory on the damped wave equation ⋮ A class of dissipative wave equations with time-dependent speed and damping

Cites Work

• Long time asymptotics for 2 by 2 hyperbolic systems
• Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class
• Generalised energy conservation law for wave equations with variable propagation speed
• On the asymptotic behavior of the energy for the wave equations with time depending coefficients
• The log-effect for \(2\) by \(2\) hyperbolic systems

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