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arXiv · 2507.03140

Unconditional wave decay in dimension two

T. J. Christiansen·K. Datchev·P. Morales·M. Yang
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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.

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T. J. Christiansen, K. Datchev, P. Morales, M. Yang. 2025-07-03. Unconditional wave decay in dimension two. https://arxiv.org/abs/2507.03140

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