Sharp upper bounds on resonances for perturbations of hyperbolic space
نویسنده
چکیده
For certain compactly supported metric and/or potential perturbations of the Laplacian on H, we establish an upper bound on the resonance counting function with an explicit constant that depends only on the dimension, the radius of the unperturbed region in H, and the volume of the metric perturbation. This constant is shown to be sharp in the case of scattering by a spherical obstacle.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 69 شماره
صفحات -
تاریخ انتشار 2010