Helmholtz谐振腔谐振宽度的最佳下界
Optimal lower bound of the resonance widths for the Helmholtz Resonator
摘要:
在颈部附近区域的几何假设下,我们证明了一般二维亥姆霍兹共振器共振宽度的一个最佳指数下界。将所得结果推广到n小于12的n维情形。
英文摘要:
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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