Lower bounds for resonance widths in potential and obstacle scattering
From MaRDI portal
Publication:923829
DOI10.1007/BF02108782zbMath0712.35072OpenAlexW2088177701MaRDI QIDQ923829
Claudio Fernandez, Richard B. Lavine
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02108782
Scattering theory for PDEs (35P25) Wave equation (35L05) (S)-matrix theory, etc. in quantum theory (81U20) Second-order parabolic equations (35K10)
Related Items
Energy-time uncertainty principle and lower bounds on sojourn time, Lower bounds on the width of Stark-Wannier type resonances, Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line, Excited resonance widths for Helmholtz resonators with straight neck, Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator, Resonance free regions in magnetic scattering by two solenoidal fields at large separation, Width of shape resonances for non globally analytic potentials, Aharonov-Bohm effect in resonances of magnetic Schrödinger operators in two dimensions, A pole-free strip for potential scattering, Resonances for obstacles in hyperbolic space, Mathematical study of scattering resonances, Applications of resonance theory without analyticity assumption, Scattering frequencies for a perturbed system of elastic wave equations, Optimal lower bound of the resonance widths for the Helmholtz resonator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering frequencies and Gevrey 3 singularities
- On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
- Sharp exponential bounds on resonances states and width of resonances
- The first variation of the scattering matrix: An addendum
- General lower bounds for resonances in one dimension
- Decay of solutions of the wave equation outside nontrapping obstacles