[en] We derive Harnack estimates for heat and conjugate heat equations in abstract geometric flows. The main results lead to new Harnack inequalities for a variety of geometric flows. In particular, Harnack inequalities for the Ricci flow coupled with Harmonic map flow are obtained.
Disciplines :
Mathématiques
Auteur, co-auteur :
GUO, Hongxin ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit ; Wenzhou University > School of Mathematics and Information Science
He, Tongtong; Wenzhou University > School of Mathematics and Information Science
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Harnack estimates for geometric flows, applications to Ricci flow coupled with harmonic map flow