Stability for Strichartz inequalities: Existence of minimizers
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918293352218624 |
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| author | Di, Boning Yan, Dunyan |
| author_facet | Di, Boning Yan, Dunyan |
| contents | We study the quantitative stability associated with the adjoint Fourier restriction inequality, focusing on the paraboloid and two-dimensional sphere cases. We show that these Strichartz-stability inequalities admit minimizers attaining their sharp constants, provided that these sharp constants are strictly smaller than the corresponding spectral-gap constants. Furthermore, for the two-dimensional sphere case, we obtain the existence of minimizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability for Strichartz inequalities: Existence of minimizers Di, Boning Yan, Dunyan Classical Analysis and ODEs Analysis of PDEs Functional Analysis Primary 42B10, Secondary 49J40, 35B38, 35Q41 We study the quantitative stability associated with the adjoint Fourier restriction inequality, focusing on the paraboloid and two-dimensional sphere cases. We show that these Strichartz-stability inequalities admit minimizers attaining their sharp constants, provided that these sharp constants are strictly smaller than the corresponding spectral-gap constants. Furthermore, for the two-dimensional sphere case, we obtain the existence of minimizers. |
| title | Stability for Strichartz inequalities: Existence of minimizers |
| topic | Classical Analysis and ODEs Analysis of PDEs Functional Analysis Primary 42B10, Secondary 49J40, 35B38, 35Q41 |
| url | https://arxiv.org/abs/2512.07174 |