Generalised energy conservation law for the wave equations with variable propagation speed
classification
🧮 math.AP
keywords
energyequationsspeedvariablewaveapproachbehaviourcoefficient
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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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