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dc.contributor.authorBrander, Tommi
dc.contributor.authorHarrach, Bastian
dc.contributor.authorKar, Manas
dc.contributor.authorSalo, Mikko
dc.date.accessioned2018-07-17T07:13:17Z
dc.date.available2018-07-17T07:13:17Z
dc.date.issued2018
dc.identifier.citationBrander, 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.otherCONVID_27840217
dc.identifier.otherTUTKAID_76484
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/58950
dc.description.abstractWe 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.ispartofseriesSIAM Journal on Applied Mathematics
dc.rightsIn Copyright
dc.subject.otherp-Laplace equation
dc.subject.otherinclusion detection
dc.subject.othermonotonicity method
dc.subject.otherenclosure method
dc.titleMonotonicity and Enclosure Methods for the p-Laplace Equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201807103509
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2018-07-10T12:15:08Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange742-758
dc.relation.issn1095-712X
dc.relation.numberinseries2
dc.relation.volume78
dc.type.versionpublishedVersion
dc.rights.copyright© 2018 Tommi Brander, Bastian Harrach, Manas Kar, Mikko Salo
dc.rights.accesslevelopenAccessfi
dc.format.contentfulltext
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1137/17M1128599


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