Open Access
January 2014 Gradient estimates for a simple parabolic Lichnerowicz equation
Liang Zhao
Osaka J. Math. 51(1): 245-257 (January 2014).

Abstract

In this paper, we study the gradient estimates for positive solutions to the following nonlinear parabolic equation \begin{equation*} \frac{\partial u}{\partial t} = \triangle_{f}u+cu^{-\alpha} \end{equation*} on complete noncompact manifolds with Bakry--Émery Ricci curvature bounded below, where $\alpha$, $c$ are two real constants and $\alpha > 0$.

Citation

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Liang Zhao. "Gradient estimates for a simple parabolic Lichnerowicz equation." Osaka J. Math. 51 (1) 245 - 257, January 2014.

Information

Published: January 2014
First available in Project Euclid: 8 April 2014

zbMATH: 1296.58016
MathSciNet: MR3192542

Subjects:
Primary: 53J05
Secondary: 58J35

Rights: Copyright © 2014 Osaka University and Osaka City University, Departments of Mathematics

Vol.51 • No. 1 • January 2014
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