dc.contributor.author | Kow, Pu-Zhao | |
dc.contributor.author | Salo, Mikko | |
dc.contributor.author | Shahgholian, Henrik | |
dc.date.accessioned | 2023-09-07T07:25:20Z | |
dc.date.available | 2023-09-07T07:25:20Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Kow, P.-Z., Salo, M., & Shahgholian, H. (2023). On Positivity Sets for Helmholtz Solutions. <i>Vietnam Journal of Mathematics</i>, <i>51</i>(4), 985-994. <a href="https://doi.org/10.1007/s10013-023-00646-y" target="_blank">https://doi.org/10.1007/s10013-023-00646-y</a> | |
dc.identifier.other | CONVID_184653719 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/88937 | |
dc.description.abstract | We address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Vietnam Journal of Mathematics | |
dc.rights | CC BY 4.0 | |
dc.subject.other | Helmholtz equation | |
dc.subject.other | acoustic equation | |
dc.subject.other | Lipschitz domain | |
dc.subject.other | inverse scattering problem | |
dc.title | On Positivity Sets for Helmholtz Solutions | |
dc.type | research article | |
dc.identifier.urn | URN:NBN:fi:jyu-202309074970 | |
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 | Inversio-ongelmien huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | 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 | 985-994 | |
dc.relation.issn | 2305-221X | |
dc.relation.numberinseries | 4 | |
dc.relation.volume | 51 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2023 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | article | |
dc.relation.grantnumber | 770924 | |
dc.relation.grantnumber | 770924 | |
dc.relation.grantnumber | 312121 | |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.subject.yso | inversio-ongelmat | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s10013-023-00646-y | |
dc.relation.funder | European Commission | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Euroopan komissio | fi |
dc.relation.funder | Suomen Akatemia | fi |
jyx.fundingprogram | ERC Consolidator Grant | en |
jyx.fundingprogram | Centre of Excellence, AoF | en |
jyx.fundingprogram | ERC Consolidator Grant | fi |
jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
jyx.fundinginformation | This project was finalized while the authors stayed at Institute Mittag Leffler (Sweden), during the program Geometric aspects of nonlinear PDE. Kow and Salo were partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, 312121) and by the European Research Council under Horizon 2020 (ERC CoG 770924). Shahgholian was supported by Swedish Research Council. | |
dc.type.okm | A1 | |