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arXiv · 1905.02483

Endpoint Strichartz estimates for the Schr\"odinger equation on an exterior domain

Vladimir Georgiev·Koichi Taniguchi
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Abstract

The purpose in this paper is to prove end point Strichartz estimates for the Schr\"odinger equation in the exterior domain of a generic non-trapping obstacle in the case $n \geq 3.$ In the case $n=2$ we have the same range of Strichartz estimates as in the free case. In this version we corrected some misprints from the previous one.

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Vladimir Georgiev, Koichi Taniguchi. 2019-05-07. Endpoint Strichartz estimates for the Schr\"odinger equation on an exterior domain. https://arxiv.org/abs/1905.02483

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