Matrix Harnack estimate for the heat equation

@article{Hamilton1993MatrixHE,
  title={Matrix Harnack estimate for the heat equation},
  author={Richard S. Hamilton},
  journal={Communications in Analysis and Geometry},
  year={1993},
  volume={1},
  pages={113-126}
}
  • R. Hamilton
  • Published 1993
  • Mathematics
  • Communications in Analysis and Geometry
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A Spacial Gradient Estimate for Solutions to the Heat Equation on Graphs
  • Paul Horn
  • Mathematics
    SIAM J. Discret. Math.
  • 2019
The study of positive solutions of the heat equation $\frac{\partial}{\partial \alpha} u = \Delta u$, on both manifolds and graphs, gives an analytic way of extracting geometric information about t...
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On the parabolic kernel of the Schrödinger operator
Etude des equations paraboliques du type (Δ−q/x,t)−∂/∂t)u(x,t)=0 sur une variete riemannienne generale. Introduction. Estimations de gradients. Inegalites de Harnack. Majorations et minorations des