| dc.contributor.author | Colding, Tobias | |
| dc.contributor.author | Minicozzi, William | |
| dc.date.accessioned | 2018-06-12T14:47:09Z | |
| dc.date.available | 2018-06-12T14:47:09Z | |
| dc.date.issued | 2017-07 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.issn | 1097-0312 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/116248 | |
| dc.description.abstract | We showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative and satisfies the equation classically. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closed C[superscript 1] manifold with cylindrical singularities. © 2017 Wiley Periodicals, Inc. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS 1404540) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS 1206827) | en_US |
| dc.publisher | Wiley-Blackwell | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1002/CPA.21703 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Regularity of the Level Set Flow | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Colding, Tobias Holck, and William P. Minicozzi. “Regularity of the Level Set Flow.” Communications on Pure and Applied Mathematics, vol. 71, no. 4, Apr. 2018, pp. 814–24. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Colding, Tobias | |
| dc.contributor.mitauthor | Minicozzi, William | |
| dc.relation.journal | Communications on Pure and Applied Mathematics | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2018-05-17T15:51:59Z | |
| dspace.orderedauthors | Colding, Tobias Holck; Minicozzi, William P. | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0001-6208-384X | |
| dc.identifier.orcid | https://orcid.org/0000-0003-4211-6354 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
