Article ID Journal Published Year Pages File Type
4621074 Journal of Mathematical Analysis and Applications 2008 14 Pages PDF
Abstract

The aim of this note is to extend the energy decay estimates from [J. Wirth, Wave equations with time-dependent-dissipation. I: Non-effective dissipation, 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, On the asymptotic behavior of the energy for wave equations with time-depending coefficients, Math. Ann. 339 (4) (2007) 819–839].

Related Topics
Physical Sciences and Engineering Mathematics Analysis