| dc.contributor.author | Colding, Tobias | |
| dc.contributor.author | Minicozzi, William | |
| dc.date.accessioned | 2020-05-05T19:43:41Z | |
| dc.date.available | 2020-05-05T19:43:41Z | |
| dc.date.issued | 2019-03-13 | |
| dc.date.submitted | 2017-12 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.issn | 1097-0312 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/125027 | |
| dc.description.abstract | We prove conjectures of René Thom and Vladimir Arnold for C 2 solutions to the degenerate elliptic equation that is the level set equation for motion by mean curvature. We believe these results are the first instances of a general principle: Solutions of many degenerate equations behave as if they are analytic, even when they are not. If so, this would explain various conjectured phenomena. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grants DMS 1404540) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grants DMS 1206827) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grants DMS 1707270) | en_US |
| dc.language.iso | en | |
| dc.publisher | Wiley | en_US |
| dc.relation.isversionof | 10.1002/cpa.21824 | 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.subject | Applied Mathematics | en_US |
| dc.subject | General Mathematics | en_US |
| dc.title | Arnold‐Thom Gradient Conjecture for the Arrival Time | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Colding, Tobias Holck and William P. Minicozzi II. "Arnold‐Thom Gradient Conjecture for the Arrival Time." Communications on Pure and Applied Mathematics Volume 72 (2019) © 2019 The Author(s) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| 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 | 2019-11-08T19:36:02Z | |
| dspace.date.submission | 2019-11-08T19:36:06Z | |
| mit.journal.volume | 72 | en_US |
| mit.journal.issue | 7 | en_US |
| mit.metadata.status | Complete | |
