The heat flow for H-systems on higher dimensional manifolds Min-Chun HongDeliang Hsu 35R0135K92$H$-system$n$-harmonicheat flow In this paper, we investigate $H$-systems on higher dimensional Riemannian manifolds and their heat flow for a non-constant function $H$. We establish global existence and uniqueness of the solution of the $H$-system flow under certain conditions. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.3917 10.1512/iumj.2010.59.3917 en Indiana Univ. Math. J. 59 (2010) 761 - 790 state-of-the-art mathematics http://iumj.org/access/