TY - JOUR
T1 - A Generalization of Eells-Sampson's Theorem
AU - Ding Weiyue, Lin Fanghua
JO - Journal of Partial Differential Equations
VL - 4
SP - 13
EP - 22
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5749.html
KW - Harmonic maps
KW -  heat flow
AB -  We generalize the well-known Eells-Sampson's theorem on the global existence and convergence for the heat flow of harmonic maps. The assumption that the curvature of the target manifold N be nonpoeitive is replaced by the weaker one requiring that the universal cover \tilde{N} admit a strictly convex function with quadratic growth.