An inverse problem for the minimal surface equation
| dc.contributor.author | Nurminen, Janne | |
| dc.date.accessioned | 2022-11-02T10:16:31Z | |
| dc.date.available | 2022-11-02T10:16:31Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Nurminen, J. (2023). An inverse problem for the minimal surface equation. <i>Nonlinear Analysis : Theory, Methods and Applications</i>, <i>227</i>, Article 113163. <a href="https://doi.org/10.1016/j.na.2022.113163" target="_blank">https://doi.org/10.1016/j.na.2022.113163</a> | |
| dc.identifier.other | CONVID_159387652 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/83773 | |
| dc.description.abstract | We use the method of higher order linearization to study an inverse boundary value problem for the minimal surface equation on a Riemannian manifold , where the metric is conformally Euclidean. In particular we show that with the knowledge of Dirichlet-to-Neumann map associated to the minimal surface equation, one can determine the Taylor series of the conformal factor at up to a multiplicative constant. We show this both in the full data case and in some partial data cases. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Nonlinear Analysis : Theory, Methods and Applications | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | inverse problem | |
| dc.subject.other | higher order linearization | |
| dc.subject.other | quasilinear elliptic equation | |
| dc.subject.other | minimal surface equation | |
| dc.title | An inverse problem for the minimal surface equation | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202211025078 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | 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 | 0362-546X | |
| dc.relation.volume | 227 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2022 The Author(s). Published by Elsevier Ltd. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 284715 HY | |
| dc.subject.yso | yhtälöt | |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3553 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.na.2022.113163 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundinginformation | The author was supported by the Finnish Centre of Excellence in Inverse Modelling and Imaging (Academy of Finland grant 284715). | |
| dc.type.okm | A1 |
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