dc.contributor.author | Christoforou, Cleopatra | en |
dc.contributor.author | Slemrod, M. | en |
dc.creator | Christoforou, Cleopatra | en |
dc.creator | Slemrod, M. | en |
dc.date.accessioned | 2019-12-02T10:34:31Z | |
dc.date.available | 2019-12-02T10:34:31Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1678-7544 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56658 | |
dc.description.abstract | We address the problem of global embedding of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space. A theorem of Efimov states that if the curvature decays too slowly to zero then global smooth immersion is impossible. On the other hand a theorem of J.-X. Hong shows that if decay is sufficiently rapid (roughly like t−(2+δ) for δ > 0) then global smooth immersion can be accomplished. Here we present recent results on applying the method of compensated compactness to achieve a non-smooth global immersion with rough data and we give an emphasis on the role of decay rate of the Gauss curvature. © 2016, Sociedade Brasileira de Matemática. | en |
dc.source | Bulletin of the Brazilian Mathematical Society | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961768088&doi=10.1007%2fs00574-016-0136-z&partnerID=40&md5=6454d0aeb3da83c334a65229d76029fb | |
dc.subject | Gauss curvature | en |
dc.subject | compensated compactness | en |
dc.subject | Gauss-Codazzi system | en |
dc.subject | isometric immersion problem | en |
dc.subject | systems of balance laws | en |
dc.subject | weak solutions | en |
dc.title | On the decay rate of the Gauss curvature for isometric immersions | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00574-016-0136-z | |
dc.description.volume | 47 | |
dc.description.issue | 1 | |
dc.description.startingpage | 255 | |
dc.description.endingpage | 265 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Bull.Braz.Math.Soc. | en |
dc.contributor.orcid | Christoforou, Cleopatra [0000-0003-4467-3322] | |
dc.gnosis.orcid | 0000-0003-4467-3322 | |