Aronson-Bénilan estimates for the porous medium equation under the Ricci flow
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2014
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| _version_ | 1866929271832838144 |
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| author | Cao, Huai-Dong Zhu, Meng |
| author_facet | Cao, Huai-Dong Zhu, Meng |
| contents | In this paper we study the porous medium equation (PME) coupled with the Ricci flow on complete manifolds with bounded nonnegative curvature operator. In particular, we derive Aronson-Bénilan and Li-Yau-Hamilton type differential Harnack estimates for positive solutions to the PME, with a linear forcing term, under the Ricci flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1402_7270 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Aronson-Bénilan estimates for the porous medium equation under the Ricci flow Cao, Huai-Dong Zhu, Meng Differential Geometry Analysis of PDEs In this paper we study the porous medium equation (PME) coupled with the Ricci flow on complete manifolds with bounded nonnegative curvature operator. In particular, we derive Aronson-Bénilan and Li-Yau-Hamilton type differential Harnack estimates for positive solutions to the PME, with a linear forcing term, under the Ricci flow. |
| title | Aronson-Bénilan estimates for the porous medium equation under the Ricci flow |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/1402.7270 |