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arXiv · 1402.6493

Optimal lower bound of the resonance widths for the Helmholtz Resonator

Martinez André·Nédélec Laurence
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Abstract

Under a geometric assumption on the region near the end of its neck, we prove an optimal exponential lower bound on the widths of resonances for a general two-dimensional Helmholtz resonator. An extension of the result to the n-dimensional case, n smaller than 12, is also obtained.

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Martinez André, Nédélec Laurence. 2014-02-26. Optimal lower bound of the resonance widths for the Helmholtz Resonator. https://arxiv.org/abs/1402.6493

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