Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590715 | Journal of Functional Analysis | 2013 | 19 Pages |
Abstract
We consider positive solutions to the semilinear heat equation wt=Δw+awlogw, a≠0a≠0, on complete Riemannian manifolds without boundary. This equation has applications to studying Ricci flow and gradient Ricci solitons. We derive several differential Harnack inequalities which improve on those of Y. Yang (2008) [13]. We use these inequalities to derive bounds on gradient Ricci solitons.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiaodong Cao, Benjamin Fayyazuddin Ljungberg, Bowei Liu,