Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities for a nonlinear parabolic equation
Differential Geometry
2012-08-23 v2 Analysis of PDEs
Abstract
We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for a nonlinear parabolic equation to the constrained trace Chow-Hamilton Harnack inequality for this nonlinear equation with respect to evolving metrics related to Ricci flow on a 2-dimensional closed manifold. This result can be regarded as a nonlinear version of the previous work of Y. Zheng and the author (Arch. Math. 94 (2010), 591-600).
Keywords
Cite
@article{arxiv.1109.0128,
title = {Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities for a nonlinear parabolic equation},
author = {Jia-Yong Wu},
journal= {arXiv preprint arXiv:1109.0128},
year = {2012}
}
Comments
13 pages; references and explanations added