Minoration de la resolvante dans le cas captif
Analysis of PDEs
2010-10-01 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
In this note, we prove an optimal universal lower bound on the truncated resolvent for semiclassical Schroedinger operators near a trapping energy. In particular, this shows that known upper bounds for hyperbolic trapping are optimal. The proof rely on an idea of X. P. Wang, and on propagation of coherent states for Ehrenfest times.
Keywords
Cite
@article{arxiv.1009.6070,
title = {Minoration de la resolvante dans le cas captif},
author = {Jean-Francois Bony and Nicolas Burq and Thierry Ramond},
journal= {arXiv preprint arXiv:1009.6070},
year = {2010}
}
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5 pages