Calderón problem for the p-Laplace equation : First order derivative of conductivity on the boundary

Brander, Tommi

doi:10.1090/proc/12681

dc.contributor.author	Brander, Tommi
dc.date.accessioned	2015-10-28T09:15:44Z
dc.date.available	2015-10-28T09:15:44Z
dc.date.issued	2016
dc.identifier.citation	Brander, T. (2016). Calderón problem for the p-Laplace equation : First order derivative of conductivity on the boundary. <i>Proceedings of the American Mathematical Society</i>, <i>144</i>(1), 177-189. <a href="https://doi.org/10.1090/proc/12681" target="_blank">https://doi.org/10.1090/proc/12681</a>
dc.identifier.other	CONVID_25251789
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/47482
dc.description.abstract	We recover the gradient of a scalar conductivity defined on a smooth bounded open set in Rd from the Dirichlet to Neumann map arising from the p-Laplace equation. For any boundary point we recover the gradient using Dirichlet data supported on an arbitrarily small neighbourhood of the boundary point. We use a Rellich-type identity in the proof. Our results are new when p 6 = 2. In the p = 2 case boundary determination plays a role in several methods for recovering the conductivity in the interior.
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.relation.ispartofseries	Proceedings of the American Mathematical Society
dc.subject.other	Calderón problem
dc.subject.other	p-Laplacian
dc.title	Calderón problem for the p-Laplace equation : First order derivative of conductivity on the boundary
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201510273516
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	2015-10-27T16:15:04Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	177-189
dc.relation.issn	0002-9939
dc.relation.numberinseries	1
dc.relation.volume	144
dc.type.version	acceptedVersion
dc.rights.copyright	© 2015 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMC. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.doi	10.1090/proc/12681
dc.type.okm	A1