Stability for the logarithmic Sobolev inequality
Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562.
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10.48550/arXiv.2303.12926
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Journal Article
| Epub ahead of print
| English
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Author
Brigati, GiovanniISTA;
Dolbeault, Jean;
Simonov, Nikita
Corresponding author has ISTA affiliation
Department
Abstract
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
Publishing Year
Date Published
2024-07-15
Journal Title
Journal of Functional Analysis
Publisher
Elsevier
Acknowledgement
The authors thank Max Fathi and Pierre Cardaliaguet for fruitful discussions and Emanuel Indrei for stimulating interactions. They also thank an anonymous referee for useful comments and suggestions which have led to an improvement of the manuscript. They also want to express their gratitude to the managing editor, L. Gross, for his encouragements and questions. G.B. has been funded by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 754362. This work has been (partially) supported by the Project Conviviality ANR-23-CE40-0003 of the French National Research Agency.
Volume
287
Issue
8
Article Number
110562
ISSN
eISSN
IST-REx-ID
Cite this
Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 2024;287(8). doi:10.1016/j.jfa.2024.110562
Brigati, G., Dolbeault, J., & Simonov, N. (2024). Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110562
Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the Logarithmic Sobolev Inequality.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110562.
G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev inequality,” Journal of Functional Analysis, vol. 287, no. 8. Elsevier, 2024.
Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562.
Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” Journal of Functional Analysis, vol. 287, no. 8, 110562, Elsevier, 2024, doi:10.1016/j.jfa.2024.110562.
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arXiv 2303.12926