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Quantitative characterization of traces of Sobolev maps

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cris.lastimport.scopus2024-02-12T20:08:27Z
dc.abstract.enWe give a quantitative characterization of traces on the boundary of Sobolev maps in Ẇ1,(ℳ,), where ℳ and are compact Riemannian manifolds, ℳ≠∅: the Borel-measurable maps :ℳ→ that are the trace of a map ∈Ẇ1,(ℳ,) are characterized as the maps for which there exists an extension energy density :ℳ→[0,∞] that controls the Sobolev energy of extensions from ⌊−1⌋-dimensional subsets of ℳ to ⌊⌋-dimensional subsets of ℳ.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMazowiecka, Katarzyna
dc.contributor.authorSchaftingen, Jean Van
dc.date.accessioned2024-01-25T18:43:46Z
dc.date.available2024-01-25T18:43:46Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.identifier.doi10.1142/S0219199722500031
dc.identifier.issn0219-1997
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/117682
dc.identifier.weblinkhttps://www.worldscientific.com/doi/epdf/10.1142/S0219199722500031
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofCommunications in Contemporary Mathematics
dc.relation.pages2250003
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleQuantitative characterization of traces of Sobolev maps
dc.typeJournalArticle
dspace.entity.typePublication