Application of uncertainty principles for decaying densities to the observability of the Schrödinger equation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918348012388352 |
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| author | Balc'h, Kévin Le Yu, Jiaqi |
| author_facet | Balc'h, Kévin Le Yu, Jiaqi |
| contents | In this article, we study the Schrödinger equation posed in the Euclidean space. We prove observability inequalities for measurable sets that are thick with respect to decaying densities. The proof relies on quantitative uncertainty principles adapted to decaying densities, notably those established by Shubin, Vakilian, Wolff, and Kovrijkine. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18371 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Application of uncertainty principles for decaying densities to the observability of the Schrödinger equation Balc'h, Kévin Le Yu, Jiaqi Analysis of PDEs 35Q41, 93B07, 42B10 In this article, we study the Schrödinger equation posed in the Euclidean space. We prove observability inequalities for measurable sets that are thick with respect to decaying densities. The proof relies on quantitative uncertainty principles adapted to decaying densities, notably those established by Shubin, Vakilian, Wolff, and Kovrijkine. |
| title | Application of uncertainty principles for decaying densities to the observability of the Schrödinger equation |
| topic | Analysis of PDEs 35Q41, 93B07, 42B10 |
| url | https://arxiv.org/abs/2602.18371 |