Inverse problems for semilinear elliptic PDE with measurements at a single point
| dc.contributor.author | Salo, Mikko | |
| dc.contributor.author | Tzou, Leo | |
| dc.date.accessioned | 2023-03-29T07:07:14Z | |
| dc.date.available | 2023-03-29T07:07:14Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Salo, M., & Tzou, L. (2023). Inverse problems for semilinear elliptic PDE with measurements at a single point. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(5), 2023-2030. <a href="https://doi.org/10.1090/proc/16255" target="_blank">https://doi.org/10.1090/proc/16255</a> | |
| dc.identifier.other | CONVID_177819392 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/86155 | |
| dc.description.abstract | We consider the inverse problem of determining a potential in a semilinear elliptic equation from the knowledge of the Dirichlet-to-Neumann map. For bounded Euclidean domains we prove that the potential is uniquely determined by the Dirichlet-to-Neumann map measured at a single boundary point, or integrated against a fixed measure. This result is valid even when the Dirichlet data is only given on a small subset of the boundary. We also give related uniqueness results on Riemannian manifolds. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.relation.ispartofseries | Proceedings of the American Mathematical Society | |
| dc.rights | In Copyright | |
| dc.title | Inverse problems for semilinear elliptic PDE with measurements at a single point | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202303292295 | |
| 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.format.pagerange | 2023-2030 | |
| dc.relation.issn | 0002-9939 | |
| dc.relation.numberinseries | 5 | |
| dc.relation.volume | 151 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | ©2023 American Mathematical Society | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1090/proc/16255 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundinginformation | The first author was partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant 284715) and by the European Research Council under Horizon 2020 (ERC CoG 770924). The second author was partly supported by Australian Research Council Discovery Projects DP190103451 and DP190103302. | |
| dc.type.okm | A1 |
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