ENTIRE GRAPHS UNDER A GENERAL FLOW

Jing Mao, Guanghan Li, Chuanxi Wu
2009 Demonstratio Mathematica  
An initial entire graph with bounded second fundamental form in fi n+1 over some hyperplane is evolving under a general flow defined in the paper. For an additionally suitable condition in the main theorem, we obtain gradient and curvature estimates, leading to long-time existence of the flow, and convergence to an entire graph in the limit.
doi:10.1515/dema-2009-0318 fatcat:yrel43jvozf7tecmpgwnjuor6y