Semiclassical resolvent estimates in chaotic scattering

Details Semiclassical resolvent estimates in chaotic scattering Semiclassical resolvent estimates in chaotic scattering

2009-04-20

arxiv.org/abs/0904.2986v4

Physics

Mathematical Physics

9 pages

Scientific paper

We prove resolvent estimates for semiclassical operators such as $-h^2 \Delta+V(x)$ in scattering situations. Provided the set of trapped classical trajectories supports a chaotic flow and is sufficiently filamentary, the analytic continuation of the resolvent is bounded by $h^{-M}$ in a strip whose width is determined by a certain topological pressure associated with the classical flow. This polynomial estimate has applications to local smoothing in Schr\"odinger propagation and to energy decay of solutions to wave equations.

Affiliated with

Also associated with

No associations

Rating

Semiclassical resolvent estimates in chaotic scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiclassical resolvent estimates in chaotic scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical resolvent estimates in chaotic scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173935