Reference : Harnack estimates for a heat-type equation under the Ricci flow
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/29565
Harnack estimates for a heat-type equation under the Ricci flow
English
Li, Yi mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Shanghai Jiao Tong University > Mathematics]
Zhu, Xiaorui mailto [China Maritime Police Academy]
15-Feb-2016
Journal of Differential Equations
Academic Press
260
4
3270-3301
Yes (verified by ORBilu)
International
0022-0396
1090-2732
Amsterdam
The Netherlands
[en] Nonlinear parabolic equation ; Harnack estimate ; Ricci flow
[en] In this paper, we consider the gradient estimates for a positive solution of the nonlinear parabolic equation ∂tu=Δtu+hup∂tu=Δtu+hup on a Riemannian manifold whose metrics evolve under the Ricci flow. Two Harnack inequalities and other interesting results are obtained.
http://hdl.handle.net/10993/29565
10.1016/j.jde.2015.10.024

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