Hyperbolic-like estimates for higher order equations

DOI10.1016/j.jmaa.2012.05.070zbMath1250.35140OpenAlexW2077806771MaRDI QIDQ448277

Marcelo Rempel Ebert, Marcello D'Abbicco

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.070

zbMATH Keywords

energy estimatestime-dependent coefficientsdissipative effectshyperbolic higher order equationslong time estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (5)

On \(t\)-dependent hyperbolic systems. II. ⋮ The influence of a nonlinear memory on the damped wave equation ⋮ Semi-linear wave equations with effective damping ⋮ A class of dissipative wave equations with time-dependent speed and damping ⋮ An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^p\)-\(L^q\) estimate for wave equation with bounded time dependent coefficient
• Wave equations with time-dependent dissipation. I: Non-effective dissipation
• Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients
• Wave equations with time-dependent dissipation. II: Effective dissipation
• 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 solutions of semi-linear wave equations
• A class of dissipative wave equations with time-dependent speed and damping
• Asymptotic behavior for abstract wave equations with decaying dissipation
• A priori estimates for the wave equation and some applications
• The Hyperbolic Symmetrizer: Theory and Applications
• Solution representations for a wave equation with weak dissipation
• The influence of oscillations on global existence for a class of semi-linear wave equations

This page was built for publication: Hyperbolic-like estimates for higher order equations