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Local estimates for positive solutions of porous medium equations

Analysis of PDEs 2014-03-10 v1

Abstract

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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Cite

@article{arxiv.1403.1821,
  title  = {Local estimates for positive solutions of porous medium equations},
  author = {Zhongmin Qian and Zichen Zhang},
  journal= {arXiv preprint arXiv:1403.1821},
  year   = {2014}
}

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21 pages