The Li–Yau inequality and applications under a curvature-dimension condition

Article Properties
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
Li–Yau and Harnack type inequalities in metric measure spaces Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 30 2014
10.1007/978-3-319-00227-9
[9] Li, Junfag; Xu, Xiangjin Differential Harnack inequalities on Riemannian manifolds I: linear heat equation, Adv. Math., Volume 226 (2011) no. 5, pp. 4456-4491
[8] Lee, Paul W. Y. Generalized Li–Yau estimates and Huisken’s monotonicity formula (2016) (https://arxiv.org/abs/1211.5559, to appear in ESAIM Control Opt. Calc. Var)
[7] Hamilton, Richard S. A matrix Harnack estimate for the heat equation, Comm. Anal. Geom., Volume 1 (1993) no. 1, pp. 88-99
Citations
Title Journal Journal Categories Citations Publication Date
Intrinsic dimensional functional inequalities on model spaces Journal of Functional Analysis
  • Science: Mathematics
 2024
Revisiting Li-Yau type inequalities on Riemannian manifolds Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Aronson–Bénilan and Harnack estimates for the discrete porous medium equation Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2024
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds I: Bakry-Émery curvature bounded below Journal of Differential Equations
  • Science: Mathematics
 1 2023
Citations Analysis
Category Category Repetition
Science: Mathematics16
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods8
The category Science: Mathematics 16 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Remarks on Li–Yau inequality on graphs and was published in 2017. The most recent citation comes from a 2024 study titled Intrinsic dimensional functional inequalities on model spaces. This article reached its peak citation in 2024, with 4 citations. It has been cited in 13 different journals. Among related journals, the Nonlinear Analysis cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year