Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914577402298368 |
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| author | Zhao, Xingyu Xu, Hui Duan, Zhiwen |
| author_facet | Zhao, Xingyu Xu, Hui Duan, Zhiwen |
| contents | In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for the Dunkl transform. In particular, we prove that pairs of (\varepsilon,k)-thin sets form strong annihilating pairs for the Dunkl transform, which yields quantitative unique continuation properties for solutions to the Dunkl--Schrödinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18021 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles Zhao, Xingyu Xu, Hui Duan, Zhiwen Analysis of PDEs In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for the Dunkl transform. In particular, we prove that pairs of (\varepsilon,k)-thin sets form strong annihilating pairs for the Dunkl transform, which yields quantitative unique continuation properties for solutions to the Dunkl--Schrödinger equation. |
| title | Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.18021 |