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arxiv: 1206.1394 · v2 · pith:KCKQ4I65new · submitted 2012-06-07 · 🧮 math.PR · math.AP

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

classification 🧮 math.PR math.AP
keywords equationsdiffusionestimatesfastgradientmartingalemediumporous
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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.

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