Hong, Min-Chun; Hsu, Deliang The heat flow for \(H\)-systems on higher dimensional manifolds. (English) Zbl 1210.53065 Indiana Univ. Math. J. 59, No. 3, 761-790 (2010). Summary: 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 a solution to the \(H\)-system flow under certain conditions. Cited in 2 Documents MSC: 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) 35K05 Heat equation 53C40 Global submanifolds Keywords:\(H\)-system; \(n\)-harmonic; heat flow PDFBibTeX XMLCite \textit{M.-C. Hong} and \textit{D. Hsu}, Indiana Univ. Math. J. 59, No. 3, 761--790 (2010; Zbl 1210.53065) Full Text: DOI Link