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math.AP2022★ 1 cited
On the limiting amplitude principle for the wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence for…
math.AP2022★ 1 cited
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded r…