Radiating and non-radiating sources in elasticity

Blåsten, Eemeli; Lin, Yi-Hsuan

doi:10.1088/1361-6420/aae99e

dc.contributor.author	Blåsten, Eemeli
dc.contributor.author	Lin, Yi-Hsuan
dc.date.accessioned	2019-11-18T08:23:54Z
dc.date.available	2019-11-18T08:23:54Z
dc.date.issued	2019
dc.identifier.citation	Blåsten, E., & Lin, Y.-H. (2019). Radiating and non-radiating sources in elasticity. <i>Inverse Problems</i>, <i>35</i>(1), 015005. <a href="https://doi.org/10.1088/1361-6420/aae99e" target="_blank">https://doi.org/10.1088/1361-6420/aae99e</a>
dc.identifier.other	CONVID_33537213
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/66413
dc.description.abstract	In this work, we study the inverse source problem of a fixed frequency for the Navier equation. We investigate non-radiating external forces. If the support of such a force has a convex or non-convex corner or edge on its boundary, the force must be vanishing there. The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. The idea originates from the enclosure method: an energy identity and a new type of exponential solution for the Navier equation.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Institute of Physics
dc.relation.ispartofseries	Inverse Problems
dc.rights	In Copyright
dc.subject.other	inverse source problems
dc.subject.other	elastic waves
dc.subject.other	Navier equation
dc.subject.other	exponential solutions, transmission eigenfunctions
dc.title	Radiating and non-radiating sources in elasticity
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201911184918
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	015005
dc.relation.issn	0266-5611
dc.relation.numberinseries	1
dc.relation.volume	35
dc.type.version	acceptedVersion
dc.rights.copyright	© 2018 IOP Publishing Ltd
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	309963
dc.subject.yso	inversio-ongelmat
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27912
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1088/1361-6420/aae99e
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The authors appreciate Professor Ikehata and the anonymous referees for some useful comments to improve this work. Y-H Lin is partially supported by the Academy of Finland, under the project number 309963.
dc.type.okm	A1