度量测度空间上热流的Hamilton梯度估计与单调性公式
度量几何
2015-12-29 v1 微分几何
摘要
在本文中，我们将光滑黎曼流形上热流的 Hamilton 梯度估计 \cite{har93} 与熵的单调性公式 \cite{ni04} 推广到具有适当黎曼曲率-维数条件的（非光滑）度量测度空间。
引用
@article{arxiv.1512.08306,
title = {Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces},
author = {Renjin Jiang and Huichun Zhang},
journal= {arXiv preprint arXiv:1512.08306},
year = {2015}
}
备注
19 pages, In a special issue of Nonlinear Analysis (vol 131,2016,32-47): Qualitative and Quantitative Properties of Solutions to Parabolic Equations,in Honor of Victor A. Galaktionov for his 60th Birthday, Edited By Thierry Coulhon, Neil Trudinger and Vincenzo Vespri