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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.06089 |
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| _version_ | 1866910906578894848 |
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| author | Mäder-Baumdicker, Elena Neumann, Nils |
| author_facet | Mäder-Baumdicker, Elena Neumann, Nils |
| contents | We explore novel properties of the biharmonic heat kernel on Euclidean space and derive an entropy type quantity for the extrinsic biharmonic map heat flow which exhibits monotonicity behaviors for $n\leq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow Mäder-Baumdicker, Elena Neumann, Nils Differential Geometry Analysis of PDEs We explore novel properties of the biharmonic heat kernel on Euclidean space and derive an entropy type quantity for the extrinsic biharmonic map heat flow which exhibits monotonicity behaviors for $n\leq 4$. |
| title | A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2504.06089 |