Generalised energy conservation law for the wave equations with variable propagation speed

Details Generalised energy conservation law for the wave equations with variable propagation speed Generalised energy conservation law for the wave equations with variable propagation speed

2008-02-04

arxiv.org/abs/0802.0409v2

J. Math. Anal. Appl. 358:56-74, 2009

Mathematics

Analysis of PDEs

23 pages, further examples and counter-examples included

Scientific paper

10.1016/j.jmaa.2009.04.048

We investigate the long time behaviour of the $L^2$-energy of solutions to
wave equations with variable speed. The novelty of the approach is the
combination of estimates for higher order derivatives of the coefficient with a
stabilisation property.

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