Weak solutions to mean curvature flow respecting obstacles
We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we treat the case of complete graphs and explain how the approach of M. Sáez and the second author [19] yields a global weak...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Scuola Normale Superiore di Pisa
2020
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| _version_ | 1797079454126702592 |
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| author | Rupflin, M Schnürer, O |
| author_facet | Rupflin, M Schnürer, O |
| author_sort | Rupflin, M |
| collection | OXFORD |
| description | We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we treat the case of complete graphs and explain how the approach of M. Sáez and the second author [19] yields a global weak solution to the original problem for general initial data and onesided obstacles. |
| first_indexed | 2024-03-07T00:46:05Z |
| format | Journal article |
| id | oxford-uuid:84b490dc-00d3-41e9-8b62-fcd32ba55600 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:46:05Z |
| publishDate | 2020 |
| publisher | Scuola Normale Superiore di Pisa |
| record_format | dspace |
| spelling | oxford-uuid:84b490dc-00d3-41e9-8b62-fcd32ba556002022-03-26T21:52:49ZWeak solutions to mean curvature flow respecting obstaclesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:84b490dc-00d3-41e9-8b62-fcd32ba55600EnglishSymplectic Elements at OxfordScuola Normale Superiore di Pisa2020Rupflin, MSchnürer, OWe consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we treat the case of complete graphs and explain how the approach of M. Sáez and the second author [19] yields a global weak solution to the original problem for general initial data and onesided obstacles. |
| spellingShingle | Rupflin, M Schnürer, O Weak solutions to mean curvature flow respecting obstacles |
| title | Weak solutions to mean curvature flow respecting obstacles |
| title_full | Weak solutions to mean curvature flow respecting obstacles |
| title_fullStr | Weak solutions to mean curvature flow respecting obstacles |
| title_full_unstemmed | Weak solutions to mean curvature flow respecting obstacles |
| title_short | Weak solutions to mean curvature flow respecting obstacles |
| title_sort | weak solutions to mean curvature flow respecting obstacles |
| work_keys_str_mv | AT rupflinm weaksolutionstomeancurvatureflowrespectingobstacles AT schnurero weaksolutionstomeancurvatureflowrespectingobstacles |