Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909644940640256 |
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| author | Feng, Guoxia Mondal, Shyam Swarup Song, Manli Wu, Huoxiong |
| author_facet | Feng, Guoxia Mondal, Shyam Swarup Song, Manli Wu, Huoxiong |
| contents | Let $Δ_κ$ be the Dunkl-Laplacian on $\mathbb{R}^n$. The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schrödinger equation with initial data from the homogeneous Dunkl-Sobolev space $\dot{H}_κ^s (\mathbb{R}^n)$. Our approach is based on restricted weak-type orthonormal estimates, frequency-localized estimates for the Dunkl-Schrödinger propagator $e^{itΔ_κ}$, and a series of successive real and complex interpolation techniques. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_05493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity Feng, Guoxia Mondal, Shyam Swarup Song, Manli Wu, Huoxiong Functional Analysis Primary 22E25, 33C45, 35H20, Secondary 35B40 Let $Δ_κ$ be the Dunkl-Laplacian on $\mathbb{R}^n$. The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schrödinger equation with initial data from the homogeneous Dunkl-Sobolev space $\dot{H}_κ^s (\mathbb{R}^n)$. Our approach is based on restricted weak-type orthonormal estimates, frequency-localized estimates for the Dunkl-Schrödinger propagator $e^{itΔ_κ}$, and a series of successive real and complex interpolation techniques. |
| title | Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity |
| topic | Functional Analysis Primary 22E25, 33C45, 35H20, Secondary 35B40 |
| url | https://arxiv.org/abs/2506.05493 |