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. 
Ying Hu (IRMAR), Zhongmin Qian (MI), Zichen Zhang (MI)
math.PR math.AP