English

Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends

Spectral Theory 2015-06-26 v1 Mathematical Physics math.MP

Abstract

We prove some sharp upper bounds on the number of resonances associated with the Laplacian, or Laplacian plus potential, on a manifold with infinite cylidrical ends.

Keywords

Cite

@article{arxiv.math/0201237,
  title  = {Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends},
  author = {T. Christiansen},
  journal= {arXiv preprint arXiv:math/0201237},
  year   = {2015}
}