29 citations · 78 across the 22 of their papers we have counts for
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math.DG2010
Hyperbolic Gradient Flow: Evolution of Graphs in R^{n+1}
De-Xing Kong, Kefeng Liu
In this paper we introduce a new geometric flow --- the hyperbolic gradient flow for graphs in the -dimensional Euclidean space . This kind of flow is new…
math.DG2010★ 1 cited
Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data
De-Xing Kong, Kefeng Liu, Yu-Zhu Wang
In this paper we investigate the life-span of classical solutions to the hyperbolic geometric flow in two space variables with slow decay initial data. By establishing some new est…
math.DG2010★ 3 cited
Hyperbolic Mean Curvature Flow
Chun-Lei He, De-Xing Kong, Kefeng Liu
In this paper we introduce the hyperbolic mean curvature flow and prove that the corresponding system of partial differential equations are strictly hyperbolic, and based on this,…