中文

Asymptotics for a resonance-counting function for potential scattering on cylinders

谱理论 2007-05-23 v1 偏微分方程分析

摘要

We study certain resonance-counting functions for potential scattering on infinite cylinders or half-cylinders. Under certain conditions on the potential, we obtain asymptotics of the counting functions, with an explicit formula for the constant appearing in the leading term.

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引用

@article{arxiv.math/0310245,
  title  = {Asymptotics for a resonance-counting function for potential scattering on cylinders},
  author = {T. Christiansen},
  journal= {arXiv preprint arXiv:math/0310245},
  year   = {2007}
}