Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends
arXiv:math/0201237 · doi:10.1007/s00023-002-8641-6
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.
References in corpus (2)
Cited by in corpus (5)
- Resolvent estimates on asymptotically cylindrical manifolds and on the half line
- Resonances and Spectral Shift Function Singularities for Magnetic Quantum Hamiltonians
- Wave asymptotics for waveguides and manifolds with infinite cylindrical ends
- Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends
- Resonances for Schrödinger operators on infinite cylinders and other products