@Article{JPDE-5-13, author = {Ding Weiyue, Lin Fanghua}, title = {A Generalization of Eells-Sampson's Theorem}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {4}, pages = {13--22}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5749.html} }