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

Abstract

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.

23 pages, further examples and counter-examples included

References in corpus (1)

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

Cited by in corpus (6)

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