$C^m$-theory of damped wave equations with stabilisation

Details $C^m$-theory of damped wave equations with stabilisation $C^m$-theory of damped wave equations with stabilisation

2007-11-15

arxiv.org/abs/0711.2403v1

J. Math. Anal. Appl. 343(2):1022-1035, 2008

Mathematics

Analysis of PDEs

13 pages

Scientific paper

10.1016/j.jmaa.2008.02.024

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].

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