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, (Formula presented.) , is also obtained.
Martinez, A.G., Nédélec, L. (2016). Optimal Lower Bound of the Resonance Widths for the Helmholtz Resonator. ANNALES HENRI POINCARE', 17(3), 645-672 [10.1007/s00023-015-0405-1].
Optimal Lower Bound of the Resonance Widths for the Helmholtz Resonator
MARTINEZ, ANDRE' GEORGES;
2016
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, (Formula presented.) , is also obtained.File in questo prodotto:
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