Minoration de la resolvante dans le cas captif

Details Minoration de la resolvante dans le cas captif Minoration de la resolvante dans le cas captif

2010-09-30

arxiv.org/abs/1009.6070v1

Mathematics

Analysis of PDEs

5 pages

Scientific paper

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.

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