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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.10144 |
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| _version_ | 1866912192996048896 |
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| author | Chau, Albert Weinkove, Ben |
| author_facet | Chau, Albert Weinkove, Ben |
| contents | The $p$-Laplacian evolution equation and the $α$-Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth short-time existence, up to the free boundaries, using a result of the authors on linear degenerate equations on a fixed domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10144 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smoothness up to the free boundary for the $p$-Laplacian evolution equation and the $α$-Gauss curvature flow Chau, Albert Weinkove, Ben Analysis of PDEs Differential Geometry The $p$-Laplacian evolution equation and the $α$-Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth short-time existence, up to the free boundaries, using a result of the authors on linear degenerate equations on a fixed domain. |
| title | Smoothness up to the free boundary for the $p$-Laplacian evolution equation and the $α$-Gauss curvature flow |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2412.10144 |