A logarithmic Sobolev form of the Li-Yau parabolic inequality
Article Properties
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DOI (url)
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Publication Date2006/08/31
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Indian UGC (journal)
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Citations6
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Dominique Bakry Université Paul Sabatier, Toulouse, France
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Michel Ledoux Université Paul Sabatier, Toulouse, France
Cite
Bakry, Dominique, and Michel Ledoux. “A Logarithmic Sobolev Form of the Li-Yau Parabolic Inequality”. Revista Matemática Iberoamericana, vol. 22, no. 2, 2006, pp. 683-02, https://doi.org/10.4171/rmi/470.
Bakry, D., & Ledoux, M. (2006). A logarithmic Sobolev form of the Li-Yau parabolic inequality. Revista Matemática Iberoamericana, 22(2), 683-702. https://doi.org/10.4171/rmi/470
Bakry D, Ledoux M. A logarithmic Sobolev form of the Li-Yau parabolic inequality. Revista Matemática Iberoamericana. 2006;22(2):683-702.
Journal Category
Science
Mathematics
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Periodic solutions of the parabolic–elliptic Keller–Segel system on whole spaces | Mathematische Nachrichten |
| 2024 | |
| Intrinsic dimensional functional inequalities on model spaces | Journal of Functional Analysis |
| 2024 | |
| Aronson–Bénilan and Harnack estimates for the discrete porous medium equation | Nonlinear Analysis |
| 2024 | |
| Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel | Journal of Functional Analysis |
| 2022 | |
| Li-Yau inequality for unbounded Laplacian on graphs | Advances in Mathematics |
| 13 | 2019 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 6 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 2 |
The category
Science: Mathematics 6
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Li–Yau inequality on finite graphs via non-linear curvature dimension conditions and was published in 2018. The most recent citation comes from a 2024 study titled Periodic solutions of the parabolic–elliptic Keller–Segel system on whole spaces. This article reached its peak citation in 2024, with 3 citations. It has been cited in 5 different journals. Among related journals, the Journal of Functional Analysis cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.