Inverse problems for elliptic equations with fractional power type nonlinearities
| dc.contributor.author | Liimatainen, Tony | |
| dc.contributor.author | Lin, Yi-Hsuan | |
| dc.contributor.author | Salo, Mikko | |
| dc.contributor.author | Tyni, Teemu | |
| dc.date.accessioned | 2023-02-02T06:04:51Z | |
| dc.date.available | 2023-02-02T06:04:51Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Liimatainen, T., Lin, Y.-H., Salo, M., & Tyni, T. (2022). Inverse problems for elliptic equations with fractional power type nonlinearities. <i>Journal of Differential Equations</i>, <i>306</i>, 189-219. <a href="https://doi.org/10.1016/j.jde.2021.10.015" target="_blank">https://doi.org/10.1016/j.jde.2021.10.015</a> | |
| dc.identifier.other | CONVID_101789930 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/85284 | |
| dc.description.abstract | We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [24], [23] remain valid for general power type nonlinearities. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Journal of Differential Equations | |
| dc.rights | In Copyright | |
| dc.subject.other | Inverse boundary value problem | |
| dc.subject.other | Calderón problem | |
| dc.subject.other | Partial data | |
| dc.subject.other | Semilinear elliptic equations | |
| dc.subject.other | Higher order linearization | |
| dc.subject.other | Transversally anisotropic manifold | |
| dc.title | Inverse problems for elliptic equations with fractional power type nonlinearities | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202302021567 | |
| 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 | 189-219 | |
| dc.relation.issn | 0022-0396 | |
| dc.relation.volume | 306 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2022 Elsevier | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 309963 | |
| dc.relation.grantnumber | 284715 HY | |
| 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 | 10.1016/j.jde.2021.10.015 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundinginformation | T.L. and M.S. are supported by the Finnish Centre of Excellence in Inverse Modelling and Imaging, Academy of Finland grant 284715, and T.T. by grant 312119. M.S. was also supported by the Academy of Finland (grant 309963) and by the European Research Council under Horizon 2020 (ERC CoG 770924). Y.-H.L. is supported by the Ministry of Science and Technology, Taiwan, under the Columbus Program: MOST-109-2636-M-009-006, MOST-110-2636-M-009- 007. | |
| dc.type.okm | A1 |
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