Reference : Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/29566
Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
English
Li, Yi mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Shanghai Jiao Tong University > Mathematics]
Jan-2015
Nonlinear Analysis: Theory, Methods & Applications
Elsevier Science
113
1-32
Yes (verified by ORBilu)
0362-546X
1873-5215
Oxford
United Kingdom
[en] Cheng–Yau estimate ; Li–Yau estimate ; Hamilton estimate ; Bakry–Emery Ricci curvature
[en] In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Emery–Ricci curvature bounded from below, and also global and local upper bounds, in terms of Bakry–Emery–Ricci curvature, for the Hessian of positive and bounded solutions of the weighted heat equation on a closed Riemannian manifold.
http://hdl.handle.net/10993/29566
10.1016/j.na.2014.09.014

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