Journal article
Weak solutions to mean curvature flow respecting obstacles
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 511.2KB, Terms of use)
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- Publisher copy:
- 10.2422/2036-2145.201708_005
Authors
- Publisher:
- Scuola Normale Superiore di Pisa
- Journal:
- Annali della Scuola Normale Superiore di Pisa - Classe di Scienze More from this journal
- Volume:
- XX
- Issue:
- 4
- Pages:
- 1429-1467
- Publication date:
- 2020-12-18
- Acceptance date:
- 2018-12-05
- DOI:
- EISSN:
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2036-2145
- ISSN:
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0391-173X
- Language:
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English
- Pubs id:
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pubs:953286
- UUID:
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uuid:84b490dc-00d3-41e9-8b62-fcd32ba55600
- Local pid:
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pubs:953286
- Source identifiers:
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953286
- Deposit date:
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2018-12-19
- ARK identifier:
Terms of use
- Copyright holder:
- Scuola Normale Superiore di Pisa
- Copyright date:
- 2020
- Rights statement:
- Copyright 2020 Scuola Normale Superiore di Pisa
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Scuola Normale Superiore di Pisa at https://doi.org/10.2422/2036-2145.201708_005
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