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

Annales de l'institut Henri Poincare (B) Probability and Statistics (2017) 53(4) 1793-1820
DOI: 10.1214/16-AIHP771
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Abstract

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

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Hu, Y., Qian, Z., & Zhang, Z. (2017). Gradient estimates for porous medium and fast diffusion equations by martingale method. Annales de l’institut Henri Poincare (B) Probability and Statistics, 53(4), 1793–1820. https://doi.org/10.1214/16-AIHP771

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