Inverse problems for p-Laplace type equations under monotonicity assumptions
| dc.contributor.author | Guo, Changyu | |
| dc.contributor.author | Kar, Manas | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2018-01-16T10:33:42Z | |
| dc.date.available | 2018-01-16T10:33:42Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Guo, C., Kar, M., & Salo, M. (2016). Inverse problems for p-Laplace type equations under monotonicity assumptions. <i>Rendiconti dell'Istituto di Matematica dell'Universita di Trieste</i>, <i>48</i>, 79-99. <a href="https://doi.org/10.13137/2464-8728/13152" target="_blank">https://doi.org/10.13137/2464-8728/13152</a> | |
| dc.identifier.other | CONVID_26534043 | |
| dc.identifier.other | TUTKAID_72905 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56749 | |
| dc.description.abstract | We consider inverse problems for p-Laplace type equations under monotonicity assumptions. In two dimensions, we show that any two conductivities satisfying σ1 ≥ σ2 and having the same nonlinear Dirichlet-to-Neumann map must be identical. The proof is based on a monotonicity inequality and the unique continuation principle for p-Laplace type equations. In higher dimensions, where unique continuation is not known, we obtain a similar result for conductivities close to constant. | |
| dc.language.iso | eng | |
| dc.publisher | EUT Edizioni Universita di Trieste | |
| dc.relation.ispartofseries | Rendiconti dell'Istituto di Matematica dell'Universita di Trieste | |
| dc.relation.uri | http://rendiconti.dmi.units.it/volumi/48/004.pdf | |
| dc.subject.other | Dirichlet-to-Neumann map | |
| dc.subject.other | p-Laplace equation | |
| dc.subject.other | unique continuation principle | |
| dc.title | Inverse problems for p-Laplace type equations under monotonicity assumptions | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201801121167 | |
| 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.date.updated | 2018-01-12T10:15:28Z | |
| dc.type.coar | journal article | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 79-99 | |
| dc.relation.issn | 0049-4704 | |
| dc.relation.numberinseries | 0 | |
| dc.relation.volume | 48 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © the Authors, 2016. This is an open access article distributed under the terms of the Creative Commons License. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | inversio-ongelmat | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.relation.doi | 10.13137/2464-8728/13152 |
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