6 citations · 16 across the 23 of their papers we have counts for
4 papers · 1 filter
Blow-up and global solutions to L^p norm preserving non-local flows
Li Ma, Liang Cheng
In this paper, we study global existence and blow up properties to norm preserving non-local heat flows. We first study two kinds of norm preserving non-local flows and…
Non-local heat flows and gradient estimates on closed manifolds
Li Ma, Liang Cheng
In this paper, we study two kind of L^2 norm preserved non-local heat flows on closed manifolds. We first study the global existence, stability and asymptotic behavior to such non-…
Gradient estimate for the Poisson equation and the non-homogeneous heat equation on compact Riemannian manifolds
Li Ma, Liang Cheng
In this short note, we study the gradient estimate of positive solutions to Poisson equation and the non-homogeneous heat equation in a compact Riemannian manifold (M^n,g). Our res…
A non-local area preserving curve flow
Li Ma, Liang Cheng
In this paper, we consider a kind of area preserving non-local flow for convex curves in the plane. We show that the flow exists globally, the length of evolving curve is non-incre…