Semiclassical Moser-Trudinger inequalities
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911765065891840 |
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| author | Arora, Rakesh Nam, Phan Thành Nguyen, Phuoc-Tai |
| author_facet | Arora, Rakesh Nam, Phan Thành Nguyen, Phuoc-Tai |
| contents | We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01456 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semiclassical Moser-Trudinger inequalities Arora, Rakesh Nam, Phan Thành Nguyen, Phuoc-Tai Analysis of PDEs Mathematical Physics Functional Analysis 26D10, 26D15, 35A23 We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains. |
| title | Semiclassical Moser-Trudinger inequalities |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis 26D10, 26D15, 35A23 |
| url | https://arxiv.org/abs/2305.01456 |