Recovering a Variable Exponent
| dc.contributor.author | Brander, Tommi | |
| dc.contributor.author | Siltakoski, Jarkko | |
| dc.date.accessioned | 2021-09-07T04:48:39Z | |
| dc.date.available | 2021-09-07T04:48:39Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Brander, T., & Siltakoski, J. (2021). Recovering a Variable Exponent. <i>Documenta Mathematica</i>, <i>26</i>, 713-731. <a href="https://doi.org/10.25537/dm.2021v26.713-731" target="_blank">https://doi.org/10.25537/dm.2021v26.713-731</a> | |
| dc.identifier.other | CONVID_100397877 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77677 | |
| dc.description.abstract | We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x)-Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements. The main technique is using the properties of a moment problem after reducing the inverse problem to determining a function from its Lp-norms. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Fakultät für Mathematik, Universität Bielefeld | |
| dc.relation.ispartofseries | Documenta Mathematica | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | Calderón's problem | |
| dc.subject.other | inverse problem | |
| dc.subject.other | variable exponent | |
| dc.subject.other | non-standard growth | |
| dc.subject.other | Müntz-Szász theorem | |
| dc.subject.other | approximation by polynomials | |
| dc.subject.other | elliptic equation | |
| dc.subject.other | quasilinear equation | |
| dc.title | Recovering a Variable Exponent | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202109074796 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| 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 | 713-731 | |
| dc.relation.issn | 1431-0635 | |
| dc.relation.volume | 26 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © Authors, 2021 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | differentiaaliyhtälöt | |
| dc.subject.yso | approksimointi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3552 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p4982 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.25537/dm.2021v26.713-731 | |
| jyx.fundinginformation | Tommi Brander was funded by the FRIPRO Toppforsk project ‘Waves and Nonlinear Phenomena’. | |
| dc.type.okm | A1 |
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