Quasimodes and resonances: Sharp lower bounds
Quasimodes and resonances: Sharp lower bounds
复制标题
准模和共振：尖锐的下界
DOI：
10.1215/s0012-7094-99-09903-9
复制
发表时间：
1999
影响因子：
2.5
通讯作者：
Plamen Stefanov
中科院分区：
文献类型：
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作者：
Plamen Stefanov
我们证明，渐近地，任何集群的准模彼此接近至少相同数量的共振，计数的多重性。由此得到靠近真实的轴的共振数的计数函数本质上由准模的计数函数从下而上有界。
We prove that, asymptotically, any cluster of quasimodes close to each other approximates at least the same number of resonances, counting multiplicities. As a consequence, we get that the counting function of the number of resonances close to the real axis is bounded from below essentially by the counting function of the quasimodes.