Unconditional wave decay in dimension two

2025/07/03 by Christiansen, T. J., Datchev, K., Morales, P. +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2507.03140

Abstract

We extend Burq's logarithmic decay rate [Bur98] to general compactly supported scatterers in dimension two. The main novelty is using recent results on low-frequency expansions to remove the requirement that the spectrum be regular at zero. This allows us to include, among other examples, arbitrary smooth obstacles with variable boundary conditions.

Citations

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• Logarithmic wave decay for short range wavespeed perturbations with radial regularity

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