Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866910403752099840 |
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| author | Georgiev, Vladimir Taniguchi, Koichi |
| author_facet | Georgiev, Vladimir Taniguchi, Koichi |
| contents | The purpose in this paper is to prove end point Strichartz estimates for the Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_02483 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain Georgiev, Vladimir Taniguchi, Koichi Analysis of PDEs Primary 35G15, Secondary 35Q55, 35B65 The purpose in this paper is to prove end point Strichartz estimates for the Schrödinger 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. |
| title | Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain |
| topic | Analysis of PDEs Primary 35G15, Secondary 35Q55, 35B65 |
| url | https://arxiv.org/abs/1905.02483 |