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Description
  • Je-li dán n-rozměrný homeomorfismus konečné distorze, jehož gradient je v Lorentzově prostoru $L^{n-1,1}$, pak inverze je sobolevovské zobrazení s konečnou distorzí. Jsou uvedeny protipříklady demonstrující přesnost výsledků. (cs)
  • Given a n-dimensional homeomorphism of finite distortion with gradient in the Lorentz space $L^{n-1,1}$, we show that the inversion is a sobolev function of finite distortion. A class of counterexamples demonstrating sharpness of the results is constructed.
  • Given a n-dimensional homeomorphism of finite distortion with gradient in the Lorentz space $L^{n-1,1}$, we show that the inversion is a sobolev function of finite distortion. A class of counterexamples demonstrating sharpness of the results is constructed. (en)
Title
  • Regularity of the inverse of a Sobolev homeomorphism in space
  • Regularity of the inverse of a Sobolev homeomorphism in space (en)
  • Regularita inverze sobolevovského homeomorfismu v prostoru (cs)
skos:prefLabel
  • Regularity of the inverse of a Sobolev homeomorphism in space
  • Regularity of the inverse of a Sobolev homeomorphism in space (en)
  • Regularita inverze sobolevovského homeomorfismu v prostoru (cs)
skos:notation
  • RIV/00216208:11320/06:00002297!RIV07-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 1267;1285
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0931), S, Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 496974
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/06:00002297
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Regularity; inverse; Sobolev; homeomorphism; space (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [9902A77CD398]
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Royal Society of Edinburgh: Section A - Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 136A
http://linked.open...iv/tvurceVysledku
  • Hencl, Stanislav
  • Malý, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0308-2105
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
is http://linked.open...avai/riv/vysledek of
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