Equipartition of energy for nonautonomous damped wave equations

DOI10.3934/dcdss.2020364zbMath1454.34087OpenAlexW3026112046MaRDI QIDQ1995433

Giovanni Girardi, Gisèle Ruiz Goldstein, Silvia Romanelli, Jerome A. Goldstein, Marcello D'Abbicco

Publication date: 23 February 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020364

zbMATH Keywords

asymptoticsdamped wave equationsnonautonomous systemsequipartition of energy

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Abstract hyperbolic equations (35L90) Waves for incompressible viscous fluids (76D33)

Cites Work

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• Equipartition of energy for nonautonomous wave equations
• A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
• Perturbation theory for linear operators.
• An asymptotic property of solutions of wave equations. II
• Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation
• Asymptotic equipartition of operator-weighted energies in damped wave equations
• An Asymptotic Property of Solutions of Wave Equations

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