Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem

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dc.citation.firstpage286
dc.citation.issueNumber2
dc.citation.journalTitleCommunications in Partial Differential Equations
dc.citation.lastpage314
dc.citation.volumeNumber48
dc.contributor.authorde Hoop, Maarten V.
dc.contributor.authorLassas, Matti
dc.contributor.authorLu, Jinpeng
dc.contributor.authorOksanen, Lauri
dc.date.accessioned2023-04-25T14:47:55Z
dc.date.available2023-04-25T14:47:55Z
dc.date.issued2023
dc.description.abstractWe obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular, our result applies to the elasticity system and also the Maxwell system. As an application, we study the kinematic inverse rupture problem of determining the jump in displacement and the friction force at the rupture surface, and we obtain new features on the stable unique continuation up to the rupture surface.
dc.identifier.citationde Hoop, Maarten V., Lassas, Matti, Lu, Jinpeng, et al.. "Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem." <i>Communications in Partial Differential Equations,</i> 48, no. 2 (2023) Taylor & Francis: 286-314. https://doi.org/10.1080/03605302.2023.2175215.
dc.identifier.digitalQuantitative-unique-continuation
dc.identifier.doihttps://doi.org/10.1080/03605302.2023.2175215
dc.identifier.urihttps://hdl.handle.net/1911/114827
dc.language.isoeng
dc.publisherTaylor & Francis
dc.rightsThis 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 cited.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/),
dc.titleQuantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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