Determining an unbounded potential for an elliptic equation with a power type nonlinearity
| dc.contributor.author | Nurminen, Janne | |
| dc.date.accessioned | 2023-01-31T11:24:41Z | |
| dc.date.available | 2023-01-31T11:24:41Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Nurminen, J. (2023). Determining an unbounded potential for an elliptic equation with a power type nonlinearity. <i>Journal of Mathematical Analysis and Applications</i>, <i>523</i>(1), Article 126962. <a href="https://doi.org/10.1016/j.jmaa.2022.126962" target="_blank">https://doi.org/10.1016/j.jmaa.2022.126962</a> | |
| dc.identifier.other | CONVID_172580071 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/85260 | |
| dc.description.abstract | In this article we focus on inverse problems for a semilinear elliptic equation. We show that a potential q in ��/2+�, �>0, can be determined from the full and partial Dirichlet-to-Neumann map. This extends the results from [LLLS21b] where this is shown for Hölder continuous potentials. Also we show that when the Dirichlet-to-Neumann map is restricted to one point on the boundary, it is possible to determine a potential q in ��+�. The authors of [ST22] proved this to be true for Hölder continuous potentials. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Journal of Mathematical Analysis and Applications | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | inverse problem | |
| dc.subject.other | partial data | |
| dc.subject.other | higher order linearization | |
| dc.subject.other | semilinear elliptic equation | |
| dc.title | Determining an unbounded potential for an elliptic equation with a power type nonlinearity | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202301311545 | |
| 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 | 0022-247X | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 523 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2023 The Author(s). Published by Elsevier Inc. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 284715 HY | |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | yhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3553 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.jmaa.2022.126962 | |
| 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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