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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.06755 |
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| _version_ | 1866913308467003392 |
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| author | Lu, Zhihao |
| author_facet | Lu, Zhihao |
| contents | We obtain almost optimal differential Harnack inequalities for a class of nonlinear parabolic equations on Riemannian manifolds with Bakry-Émery Ricci curvature bounded below, which includes the classical Fisher-KPP equation and Newell-Whitehead equation. Compared to existing research, we do not impose any additional conditions on the positive solutions. As its application, we derive some optimal Liouville properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential Harnack inequalities for Fisher-KPP type equations on Riemannian manifolds Lu, Zhihao Analysis of PDEs We obtain almost optimal differential Harnack inequalities for a class of nonlinear parabolic equations on Riemannian manifolds with Bakry-Émery Ricci curvature bounded below, which includes the classical Fisher-KPP equation and Newell-Whitehead equation. Compared to existing research, we do not impose any additional conditions on the positive solutions. As its application, we derive some optimal Liouville properties. |
| title | Differential Harnack inequalities for Fisher-KPP type equations on Riemannian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.06755 |