A Density Result for Homogeneous Sobolev Spaces on Planar Domains

Nandi, Debanjan; Rajala, Tapio; Schultz, Timo

doi:10.1007/s11118-018-9720-8

dc.contributor.author	Nandi, Debanjan
dc.contributor.author	Rajala, Tapio
dc.contributor.author	Schultz, Timo
dc.date.accessioned	2019-11-20T12:15:56Z
dc.date.available	2019-11-20T12:15:56Z
dc.date.issued	2019
dc.identifier.citation	Nandi, D., Rajala, T., & Schultz, T. (2019). A Density Result for Homogeneous Sobolev Spaces on Planar Domains. <i>Potential Analysis</i>, <i>51</i>(4), 483-498. <a href="https://doi.org/10.1007/s11118-018-9720-8" target="_blank">https://doi.org/10.1007/s11118-018-9720-8</a>
dc.identifier.other	CONVID_28197176
dc.identifier.other	TUTKAID_78448
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/66454
dc.description.abstract	We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω).	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Netherlands
dc.relation.ispartofseries	Potential Analysis
dc.rights	In Copyright
dc.subject.other	Sobolev space
dc.subject.other	homogeneous Sobolev space
dc.title	A Density Result for Homogeneous Sobolev Spaces on Planar Domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201911144870
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	2019-11-14T13:15:09Z
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	483-498
dc.relation.issn	0926-2601
dc.relation.numberinseries	4
dc.relation.volume	51
dc.type.version	acceptedVersion
dc.rights.copyright	© Springer Nature B.V. 2018
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	tiheys
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p14628
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s11118-018-9720-8
jyx.fundinginformation	All authors partially supported by the Academy of Finland.