Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
| dc.contributor.author | Kow, Pu-Zhao | |
| dc.contributor.author | Larson, Simon | |
| dc.contributor.author | Salo, Mikko | |
| dc.contributor.author | Shahgholian, Henrik | |
| dc.date.accessioned | 2023-01-03T10:22:09Z | |
| dc.date.available | 2023-01-03T10:22:09Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Kow, P.-Z., Larson, S., Salo, M., & Shahgholian, H. (2022). Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena. <i>Potential Analysis</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s11118-022-10054-5" target="_blank">https://doi.org/10.1007/s11118-022-10054-5</a> | |
| dc.identifier.other | CONVID_164773198 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/84718 | |
| dc.description.abstract | In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We also give an application to inverse scattering problems, and show that there are non-scattering domains for the Helmholtz equation at any positive frequency that have inward cusps. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation.ispartofseries | Potential Analysis | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | quadrature domain | |
| dc.subject.other | non-scattering phenomena | |
| dc.subject.other | mean value theorem | |
| dc.subject.other | Helmholtz equation | |
| dc.subject.other | acoustic equation | |
| dc.subject.other | metaharmonic functions | |
| dc.subject.other | partial balayage | |
| dc.title | Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202301031074 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Inversio-ongelmien huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
| 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.relation.issn | 0926-2601 | |
| dc.relation.volume | Early online | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2022 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | yhtälöt | |
| dc.subject.yso | matematiikka | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3553 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s11118-022-10054-5 | |
| jyx.fundinginformation | Open access funding provided by Royal Institute of Technology. | |
| dc.type.okm | A1 |
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