Gradient estimates for porous medium equations under the Ricci flow |
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| Authors: | Li-ju Shen Sha Yao Guang-ying Zhang Xin-an Ren |
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| Institution: | 1.Department of Mathematics,China University of Mining and Technology,Xuzhou,China |
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| Abstract: | A local gradient estimate for positive solutions of porous medium equations on complete noncompact Riemannian manifolds under the Ricci flow is derived. Moreover, a global gradient estimate for such equations on compact Riemannian manifolds is also obtained. |
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