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arXiv · 1305.2434

Nontrapping surfaces of revolution with long living resonances

Kiril R. Datchev·Daniel D. Kang·Andre P. Kessler
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Abstract

We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with nontrapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long living resonances (resonances with uniformly bounded imaginary part, i.e. decay rate).

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Kiril R. Datchev, Daniel D. Kang, Andre P. Kessler. 2013-05-10. Nontrapping surfaces of revolution with long living resonances. https://arxiv.org/abs/1305.2434

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