Monotonicity and Enclosure Methods for the p-Laplace Equation
| dc.contributor.author | Brander, Tommi | |
| dc.contributor.author | Harrach, Bastian | |
| dc.contributor.author | Kar, Manas | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2018-07-17T07:13:17Z | |
| dc.date.available | 2018-07-17T07:13:17Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Brander, T., Harrach, B., Kar, M., & Salo, M. (2018). Monotonicity and Enclosure Methods for the p-Laplace Equation. <i>SIAM Journal on Applied Mathematics</i>, <i>78</i>(2), 742-758. <a href="https://doi.org/10.1137/17M1128599" target="_blank">https://doi.org/10.1137/17M1128599</a> | |
| dc.identifier.other | CONVID_27840217 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/58950 | |
| dc.description.abstract | We show that the convex hull of a monotone perturbation of a homogeneous background conductivity in the p-conductivity equation is determined by knowledge of the nonlinear Dirichlet--Neumann operator. We give two independent proofs: one is based on the monotonicity method and the other on the enclosure method. Our results are constructive and require no jump or smoothness properties on the conductivity perturbation or its support. | fi |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.relation.ispartofseries | SIAM Journal on Applied Mathematics | |
| dc.rights | In Copyright | |
| dc.subject.other | p-Laplace equation | |
| dc.subject.other | inclusion detection | |
| dc.subject.other | monotonicity method | |
| dc.subject.other | enclosure method | |
| dc.title | Monotonicity and Enclosure Methods for the p-Laplace Equation | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201807103509 | |
| 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 | 2018-07-10T12:15:08Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 742-758 | |
| dc.relation.issn | 1095-712X | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 78 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2018 Tommi Brander, Bastian Harrach, Manas Kar, Mikko Salo | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.format.content | fulltext | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1137/17M1128599 | |
| dc.type.okm | A1 |
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