Nontrapping surfaces of revolution with long living resonances
Nontrapping surfaces of revolution with long living resonances
复制标题
具有长寿命共振的非俘获旋转表面
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Andre P. Kessler
中科院分区：
文献类型：
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作者：
K. Datchev;Daniel D. Kang;Andre P. Kessler
我们研究了从圆锥体上取下圆盘并在其位置上附加双曲尖点所得到的旋转曲面的共振。这些曲面包括具有非捕获测地线流的曲面(每个最大扩展的非反射测地线都是无界的)和无限多个长寿命共振(具有一致有界虚部的共振，即衰减率)。
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).