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dc.contributor.authorAntonio Carrillo, Jose
dc.contributor.authorGrunert, Katrin
dc.contributor.authorHolden, Helge
dc.date.accessioned2019-12-02T15:20:23Z
dc.date.available2019-12-02T15:20:23Z
dc.date.created2019-04-25T18:05:18Z
dc.date.issued2019
dc.identifier.citationCommunications in Partial Differential Equations. 2019, 44 (4), 309-334.nb_NO
dc.identifier.issn0360-5302
dc.identifier.urihttp://hdl.handle.net/11250/2631319
dc.description.abstractWe analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter–Saxton (HS) equation. Generically, the solutions of the HS equation develop singularities with steep gradients while preserving continuity of the solution itself. In order to obtain uniqueness, one is required to augment the equation itself by a measure that represents the associated energy, and the breakdown of the solution is associated with a complicated interplay where the measure becomes singular. The main result in this article is the construction of a Lipschitz metric that compares two solutions of the HS equation with the respective initial data. The Lipschitz metric is based on the use of the Wasserstein metric.nb_NO
dc.language.isoengnb_NO
dc.publisherTaylor & Francisnb_NO
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleA Lipschitz metric for the Hunter–Saxton equationnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber309-334nb_NO
dc.source.volume44nb_NO
dc.source.journalCommunications in Partial Differential Equationsnb_NO
dc.source.issue4nb_NO
dc.identifier.doi10.1080/03605302.2018.1547744
dc.identifier.cristin1693985
dc.relation.projectNorges forskningsråd: 250070nb_NO
dc.description.localcode(C) 2019 The Author(s). Published by Taylor & Francis Group, LLC. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/ licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citednb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpreprint
cristin.qualitycode2


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