Gradient estimates for porous medium and fast diffusion equations by martingale method

In this paper, we establish several local and global gradient estimates for the positive solution of Porous Medium Equations (PMEs) and Fast Diffusion Equations (FDEs). Our proof is probabilistic and uses martingale techniques.

Bibliographic Details
Main Authors: Hu, Y, Qian, Z, Zhang, Z
Format: Journal article
Published: Institut Henri Poincaré 2017