On the Schrodinger equation outside strictly convex obstacles
Analysis of PDEs
2009-09-04 v3
Abstract
We prove sharp Strichartz estimates for the semi-classical Schrodinger equation on a compact manifold with smooth, strictly geodesically concave boundary. We deduce sharp (classical) Strichartz estimates for the Schrodinger equation outside a strictly convex obstacle, local existence for the H^1-critical (quintic) Schrodinger equation and scattering for the sub-critical Schrodinger equation in 3D.
Cite
@article{arxiv.0809.1060,
title = {On the Schrodinger equation outside strictly convex obstacles},
author = {Oana Ivanovici},
journal= {arXiv preprint arXiv:0809.1060},
year = {2009}
}
Comments
Corrections (per the referee's suggestions) were made in Section 3 and in Section 4.2, 42 pages