Sharp Bounds on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature Near Infinity

DOI10.1081/PDE-120024529zbMath1046.58011MaRDI QIDQ4428251

Claudio Cuevas, Georgi Vodev

Publication date: 14 September 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

negative curvaturesharp boundsconformally compact manifoldresonances for the Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25)

Related Items (3)

Generalized scattering phases for asymptotically hyperbolic manifolds ⋮ Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity ⋮ Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

Uses Software

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Cites Work

• On the distribution of scattering poles for perturbations of the Laplacian
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Sharp bounds on the number of scattering poles in even-dimensional spaces
• Scattering asymptotics for Riemann surfaces
• The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
• Upper bounds on the number of resonances for non-compact Riemann surfaces

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