Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow

Details Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow

2010-09-07

arxiv.org/abs/1009.1219v3

Mathematics

Differential Geometry

17 pages. New material added

Scientific paper

In this paper, we prove several differential Harnack inequalities for positive solutions to nonlinear backward heat equations with different potentials coupled with the Ricci flow. We also derive an interpolated Harnack inequality for the nonlinear heat equation under the $\varepsilon$-Ricci flow on a closed surface. These new Harnack inequalities extend the previous differential Harnack inequalities for linear heat equations with potentials under the Ricci flow.

Affiliated with

Also associated with

No associations

Rating

Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704490