On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators
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| Format: | Preprint |
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2024
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| _version_ | 1866913398165340160 |
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| author | Ghosh, Sunit Swain, Jitendriya |
| author_facet | Ghosh, Sunit Swain, Jitendriya |
| contents | In \cite{PRA} and \cite{SSM} the orthonormal Strichartz estimates for the Schrödinger equation associated with the Dunkl Laplacian and the Dunkl-Hermite operator are obtained. In this article, we prove a necessary condition on the Schatten exponent for the above orthonormal Strichartz estimates, which turns out to be optimal for the Schrödinger equations associated with Laplacian and Hermite operator as a special case. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_13456 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators Ghosh, Sunit Swain, Jitendriya Analysis of PDEs Functional Analysis Primary 47B10, 35Q41, Secondary 35B65, 35P10 In \cite{PRA} and \cite{SSM} the orthonormal Strichartz estimates for the Schrödinger equation associated with the Dunkl Laplacian and the Dunkl-Hermite operator are obtained. In this article, we prove a necessary condition on the Schatten exponent for the above orthonormal Strichartz estimates, which turns out to be optimal for the Schrödinger equations associated with Laplacian and Hermite operator as a special case. |
| title | On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators |
| topic | Analysis of PDEs Functional Analysis Primary 47B10, 35Q41, Secondary 35B65, 35P10 |
| url | https://arxiv.org/abs/2406.13456 |