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

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 (3)

• Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube
• Separation of variables in perturbed cylinders
• On the resonances of the Laplacian on waveguides

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