Resonances associated to a closed hyperbolic trajectory in dimension 2
Abstract
We consider resonances in the semi-classical limit, generated by a single closed hyperbolic orbit, for an operator on ${\bf R}^2$. We determine all such resonancess in a domain independent of the semi-classical parameter As an application we determine all resonances generated by a saddle point in a fixed disc around the critical energy.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2002
- DOI:
- 10.48550/arXiv.math/0209147
- arXiv:
- arXiv:math/0209147
- Bibcode:
- 2002math......9147S
- Keywords:
-
- Spectral Theory;
- Analysis of PDEs;
- 32A99;
- 35P20;
- 35S99;
- 81U99;
- 37Dxx