A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915255700946944 |
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| author | Bhattacharya, Arunima Wall, Jeremy |
| author_facet | Bhattacharya, Arunima Wall, Jeremy |
| contents | In this paper, we prove interior a priori estimates for singularities of the Lagrangian mean curvature flow assuming the Lagrangian phase is supercritical. We prove a Jacobi inequality that holds good when the Lagrangian phase is critical and supercritical. We further extend our results to a broader class of Lagrangian mean curvature type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12756 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase Bhattacharya, Arunima Wall, Jeremy Analysis of PDEs Differential Geometry In this paper, we prove interior a priori estimates for singularities of the Lagrangian mean curvature flow assuming the Lagrangian phase is supercritical. We prove a Jacobi inequality that holds good when the Lagrangian phase is critical and supercritical. We further extend our results to a broader class of Lagrangian mean curvature type equations. |
| title | A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2407.12756 |