On the Schrodinger equation outside strictly convex obstacles

Oana Ivanovici

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arXiv · 0809.1060

On the Schrodinger equation outside strictly convex obstacles

Oana Ivanovici

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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.

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Oana Ivanovici. 2009-09-04. On the Schrodinger equation outside strictly convex obstacles. https://arxiv.org/abs/0809.1060

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