Hamilton's gradient estimates and a monotonicity formula for heat flows on metric measure spaces
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Publication:897349
DOI10.1016/j.na.2015.08.011zbMath1329.53060arXiv1512.08306OpenAlexW1212037654MaRDI QIDQ897349
Publication date: 17 December 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08306
Heat equation (35K05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (11)
Diffusion, optimal transport and Ricci curvature ⋮ Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability ⋮ Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces ⋮ Monotonicity and rigidity of the \(\mathcal{W}\)-entropy on \(\mathsf{RCD} (0, N)\) spaces ⋮ Sharp heat kernel bounds and entropy in metric measure spaces ⋮ Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces ⋮ Second order differentiation formula on \(\mathsf{RCD}^*(K,N)\) spaces ⋮ Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces ⋮ Localized elliptic gradient estimate for solutions of the heat equation on \({ RCD}^\ast(K,N)\) metric measure spaces ⋮ Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces ⋮ Sharp spectral gaps on metric measure spaces
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