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arxiv: 1403.1821 · v1 · pith:FY5LFLNHnew · submitted 2014-03-07 · 🧮 math.AP

Local estimates for positive solutions of porous medium equations

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keywords equationestimatesmediumporouspositivesolutionsaronson-bcomplete
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We derive several new gradient estimates of Aronson-B{\'e}nilan type for positive solutions of porous medium equation and fast diffusion equation on a complete manifold that satisfies the curvature dimension condition

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