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.
Optimal Lower Bound of the Resonance Widths for the Helmholtz Resonator / Martinez, ANDRE' GEORGES; Nédélec, Laurence. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - STAMPA. - 17:3(2016), pp. 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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