Contraction of convex hypersurfaces in Euclidean space
| dc.contributor.author | Andrews, Ben | en |
| dc.date.accessioned | 2025-06-26T20:35:09Z | |
| dc.date.available | 2025-06-26T20:35:09Z | |
| dc.date.issued | 1994 | en |
| dc.description.abstract | We consider a class of fully nonlinear parabolic evolution equations for hypersurfaces in Euclidean space. A new geometrical lemma is used to prove that any strictly convex compact initial hypersurface contracts to a point in finite time, becoming spherical in shape as the limit is approached. In the particular case of the mean curvature flow this provides a simple new proof of a theorem of Huisken. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 21 | en |
| dc.identifier.issn | 0944-2669 | en |
| dc.identifier.other | ORCID:/0000-0002-6507-0347/work/162948212 | en |
| dc.identifier.scopus | 33751506755 | en |
| dc.identifier.uri | http://www.scopus.com/inward/record.url?scp=33751506755&partnerID=8YFLogxK | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733765047 | |
| dc.language.iso | en | en |
| dc.source | Calculus of Variations and Partial Differential Equations | en |
| dc.subject | Mathematics subject classification: 35K55, 53A05 | en |
| dc.title | Contraction of convex hypersurfaces in Euclidean space | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 171 | en |
| local.bibliographicCitation.startpage | 151 | en |
| local.contributor.affiliation | Andrews, Ben; Mathematical Sciences Institute Research, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National University | en |
| local.identifier.citationvolume | 2 | en |
| local.identifier.doi | 10.1007/BF01191340 | en |
| local.identifier.pure | e9eea8f9-5231-4be2-bf94-4806fde1cf7e | en |
| local.identifier.url | https://www.scopus.com/pages/publications/33751506755 | en |
| local.type.status | Published | en |