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Description
  • Dokážeme, že ve dvou dimenzích je inverze homeomorfismu s konečnou variací také zobrazení s konečnou variací. Ve více dimenzích dokážeme, že $f^{-1}$ má konečnou variaci, pokud $f\in W^{1,1}(\Omega;\rn)$ je homeomorfismus a $|Df|$ leží v Lorentzově prostoru $L^{n-1,1}(\Omega)$. (cs)
  • We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\in W^{1,1}(\Omega;\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\Omega)$.
  • We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\in W^{1,1}(\Omega;\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\Omega)$. (en)
Title
  • Homeomorphisms of bounded variation
  • Homeomorfismy s konečnou variací (cs)
  • Homeomorphisms of bounded variation (en)
skos:prefLabel
  • Homeomorphisms of bounded variation
  • Homeomorfismy s konečnou variací (cs)
  • Homeomorphisms of bounded variation (en)
skos:notation
  • RIV/00216208:11320/07:00005648!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 351;360
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 424705
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00005648
http://linked.open...riv/jazykVysledku
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  • Homeomorphisms; bounded; variation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [DF0139446B15]
http://linked.open...i/riv/nazevZdroje
  • Archive for Rational Mechanics and Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 186
http://linked.open...iv/tvurceVysledku
  • Hencl, Stanislav
http://linked.open...n/vavai/riv/zamer
issn
  • 0003-9527
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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