Strichartz estimates without loss outside two strictly convex obstacles
Analysis of PDEs
2017-09-13 v1
Abstract
We prove global Strichartz estimates without loss outside two strictly convex obstacles, combining arguments from M.Ikawa (1982,1988) with more recent ones inspired by N.Burq, C.Guillarmou, and A. Hassell (2010) and O. Ivanovici (2010). This is to be contrasted with the loss in the smoothing estimate for the Schr\"odinger equation with Dirichlet boundary conditions in the presence of a trapped geodesic.
Keywords
Cite
@article{arxiv.1709.03836,
title = {Strichartz estimates without loss outside two strictly convex obstacles},
author = {David Lafontaine},
journal= {arXiv preprint arXiv:1709.03836},
year = {2017}
}