Local smoothing for scattering manifolds with hyperbolic trapped sets

Details Local smoothing for scattering manifolds with hyperbolic trapped sets Local smoothing for scattering manifolds with hyperbolic trapped sets

2007-12-19

arxiv.org/abs/0712.3237v3

Mathematics

Analysis of PDEs

16 pages. Published version available at http://www.springerlink.com/content/r663321331243288/?p=5ad2fe4778a742e4949de2030a409

Scientific paper

10.1007/s00220-008-0684-1

We prove a resolvent estimate for the Laplace-Beltrami operator on a scattering manifold with a hyperbolic trapped set, and as a corollary deduce local smoothing. We use a result of Nonnenmacher-Zworski to provide an estimate near the trapped region, a result of Burq and Cardoso-Vodev to provide an estimate near infinity, and the microlocal calculus on scattering manifolds to combine the two.

Affiliated with

Also associated with

No associations

Rating

Local smoothing for scattering manifolds with hyperbolic trapped sets 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 Local smoothing for scattering manifolds with hyperbolic trapped sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local smoothing for scattering manifolds with hyperbolic trapped sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147200