-theory of damped wave equations with stabilisation
arXiv:0711.2403 · doi:10.1016/j.jmaa.2008.02.024
Abstract
The aim of this note is to extend the energy decay estimates from [J. Wirth, J. Differential Equations 222 (2006) 487--514] to a broader class of time-dependent dissipation including very fast oscillations. This is achieved using stabilisation conditions on the coefficient in the spirit of [F. Hirosawa, Math. Ann. 339/4 (2007) 819--839].
13 pages
References in corpus (2)
Cited by in corpus (5)
- Generalised energy conservation law for the wave equations with variable propagation speed
- Dispersive estimates for hyperbolic systems with time-dependent coefficients
- On t-dependent hyperbolic systems. Part 2
- Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations
- The influence of oscillations on energy estimates for damped wave models with time-dependent propagation speed and dissipation