Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909079890296832 |
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| author | Brigati, Giovanni Dolbeault, Jean Simonov, Nikita |
| author_facet | Brigati, Giovanni Dolbeault, Jean Simonov, Nikita |
| contents | We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in the subcritical regime using spectral decomposition techniques, and entropy and carré du champ methods applied to nonlinear diffusion flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_13180 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results Brigati, Giovanni Dolbeault, Jean Simonov, Nikita Analysis of PDEs Functional Analysis 26D10, 58J99, 39B62, 43A90, 49J40, 46E35 We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in the subcritical regime using spectral decomposition techniques, and entropy and carré du champ methods applied to nonlinear diffusion flows. |
| title | Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results |
| topic | Analysis of PDEs Functional Analysis 26D10, 58J99, 39B62, 43A90, 49J40, 46E35 |
| url | https://arxiv.org/abs/2211.13180 |