Hui-Chun Zhang

activity

20092026

most citedRicci Curvature on Alexandrov spaces and Rigidity Theorems

12 citations · 59 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.MG2026

Lipschitz regularity of harmonic map heat flows from $RCD$ spaces into $CAT (0)$ spaces

Bang-Xian Han, Hui-Chun Zhang, Xi-Ping Zhu

We prove positive-time regularity for harmonic map heat flows from finite-dimensional $RCD (K, N)$ spaces into complete $CAT (0)$ spaces, without assuming that eithe…

math.MG2015★ 11 cited

Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces

Renjin Jiang, Huichun Zhang

In this paper, we extend the Hamilton's gradient estimates \cite{har93} and a monotonicity formula of entropy \cite{ni04} for heat flows from smooth Riemannian manifolds to (non-sm…

math.MG2014★ 7 cited

Heat Kernel Bounds on Metric Measure Spaces and Some Applications

Renjin Jiang, Huaiqian Li, Huichun Zhang

Let $(X, d, μ)$ be a $R C D^{*} (K, N)$ space with $K \in R$ and $N \in [1, \infty]$ . For $N \in [1, \infty)$ , we derive the upper and lower bounds of the heat kernel on $(X, d, μ)$ …

Lipschitz regularity of harmonic map heat flows from RCD spaces into CAT(0) spaces

Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces

Heat Kernel Bounds on Metric Measure Spaces and Some Applications

Lipschitz regularity of harmonic map heat flows from $RCD$ spaces into $CAT (0)$ spaces