[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.
Disciplines :
Mathématiques
Auteur, co-auteur :
LI, Yi ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit ; Shanghai Jiao Tong University > Mathematics
Zhu, Xiaorui; China Maritime Police Academy
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Harnack estimates for a heat-type equation under the Ricci flow
