Gradient estimates for porous medium equations under the Ricci flow
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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| Veröffentlicht in: | Applied Mathematics-A Journal of Chinese Universities 2016-12, Vol.31 (4), p.481-490 |
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| container_issue | 4 |
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| container_title | Applied Mathematics-A Journal of Chinese Universities |
| container_volume | 31 |
| creator | Shen, Li-ju Yao, Sha Zhang, Guang-ying Ren, Xin-an |
| description | 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. |
| doi_str_mv | 10.1007/s11766-016-3368-1 |
| format | Article |
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| ispartof | Applied Mathematics-A Journal of Chinese Universities, 2016-12, Vol.31 (4), p.481-490 |
| issn | 1005-1031 1993-0445 |
| language | eng |
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| subjects | Applications of Mathematics Mathematical analysis Mathematics Mathematics and Statistics Porous media Riemann manifold Theorems 多孔介质方程 整体解 梯度估计 正解 渗流 非紧黎曼流形 |
| title | Gradient estimates for porous medium equations under the Ricci flow |
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