Neumann Li-Yau gradient estimate under integral Ricci curvature bounds
Author:
Xavier Ramos Olivé
Journal:
Proc. Amer. Math. Soc. 147 (2019), 411-426
MSC (2010):
Primary 58J32, 58J35
DOI:
https://doi.org/10.1090/proc/14213
Published electronically:
September 17, 2018
MathSciNet review:
3876759
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove a Li-Yau gradient estimate for positive solutions to the heat equation, with Neumann boundary conditions, on a compact Riemannian submanifold with boundary , satisfying the integral Ricci curvature assumption:
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Additional Information
Xavier Ramos Olivé
Affiliation:
Department of Mathematics, University of California, Riverside, Riverside, California 92521
Email:
olive@math.ucr.edu
DOI:
https://doi.org/10.1090/proc/14213
Keywords:
Geometric analysis,
differential geometry,
Neumann heat kernel,
integral Ricci curvature,
Li-Yau gradient estimate
Received by editor(s):
April 12, 2018
Received by editor(s) in revised form:
April 25, 2018
Published electronically:
September 17, 2018
Communicated by:
Guofang Wei
Article copyright:
© Copyright 2018
American Mathematical Society