About: Bilipschitz mappings with derivatives of bounded variation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Let $\Omega\subset\rn$ be open and suppose that $f:\Omega\to\rn$ is a bilipschitz mapping such that $Df\in BV_{\loc}(\Omega,\er^{n^2})$. We show that under these assumptions the inverse satisfies $Df^{-1}\in BV_{\loc}(f(\Omega),\er^{n^2})$. Let $\Omega\subset\rn$ be open and suppose that $f:\Omega\to\rn$ is a bilipschitz mapping such that $Df\in BV_{\loc}(\Omega,\er^{n^2})$. We show that under these assumptions the inverse satisfies $Df^{-1}\in BV_{\loc}(f(\Omega),\er^{n^2})$. (en) Nechť $\Omega\subset\rn$ je otevřená a $f:\Omega\to\rn$ je bilipschitzovské zobrazení takové, že $Df\in BV_{\loc}(\Omega,\er^{n^2})$. Pak inverzní zobrazení splňuje $Df^{-1}\in BV_{\loc}(f(\Omega),\er^{n^2})$. (cs)
Title	Bilipschitz mappings with derivatives of bounded variation Bilipschitzovské zobrazení s konečnou variací (cs) Bilipschitz mappings with derivatives of bounded variation (en)
skos:prefLabel	Bilipschitz mappings with derivatives of bounded variation Bilipschitzovské zobrazení s konečnou variací (cs) Bilipschitz mappings with derivatives of bounded variation (en)
skos:notation	RIV/00216208:11320/08:00100807!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GP201/06/P100), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Hencl, Stanislav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	357974
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/08:00100807
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Bilipschitz; mappings; derivatives; bounded; variation (en)
http://linked.open.../riv/klicoveSlovo	mappings derivatives variation Bilipschitz bounded
http://linked.open...odStatuVydavatele	ES - Španělské království
http://linked.open...ontrolniKodProRIV	[30ED3FF34FC1]
http://linked.open...i/riv/nazevZdroje	Publicacions Matematiques
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Properties of functions and mappings in Sobolev spaces
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	52
http://linked.open...iv/tvurceVysledku	Hencl, Stanislav
http://linked.open...ain/vavai/riv/wos	000253494900004
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0214-1493
number of pages	9 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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