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 | 2015 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56659 | |
dc.description.abstract | In this paper, the method of compensated compactness is applied to the problem of isometric immersion of a two-dimensional Riemannian manifold with negative Gauss curvature into three-dimensional Euclidean space. Previous applications of the method to this problem have required decay of order t−4 in the Gauss curvature. Here, we show that the decay of Hong (Commun Anal Geom 1:487−514, 1993) t−2−δ/2 where δ ∈ (0, 4) suffices. © 2015, Springer Basel. | en |
dc.source | Zeitschrift fur Angewandte Mathematik und Physik | de |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84948717349&doi=10.1007%2fs00033-015-0591-1&partnerID=40&md5=63ab5d7fdb56eddb3e15addcc20b057d | |
dc.subject | Gaussian distribution | en |
dc.subject | First and second fundamental forms | en |
dc.subject | Gauss curvature | en |
dc.subject | Isometric immersion problem | en |
dc.subject | Systems of balance laws | en |
dc.subject | Balance law | en |
dc.subject | Compensated compactness | en |
dc.subject | Second fundamental form | en |
dc.title | Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00033-015-0591-1 | |
dc.description.volume | 66 | |
dc.description.issue | 6 | |
dc.description.startingpage | 3109 | |
dc.description.endingpage | 3122 | |
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.description.notes | <p>Cited By :3</p> | en |
dc.source.abbreviation | Z.Angew.Math.Phys. | en |
dc.contributor.orcid | Christoforou, Cleopatra [0000-0003-4467-3322] | |
dc.gnosis.orcid | 0000-0003-4467-3322 | |