About: A note on equality of functional envelopes.

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $R^{mtimes n}$, $min(m,n)le 2$, then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope. We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $R^{mtimes n}$, $min(m,n)le 2$, then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope. (en)
Title	A note on equality of functional envelopes. A note on equality of functional envelopes. (en)
skos:prefLabel	A note on equality of functional envelopes. A note on equality of functional envelopes. (en)
skos:notation	RIV/67985556:_____/03:16030097!RIV/2004/AV0/A16004/N
http://linked.open.../vavai/riv/strany	169;178
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1075005), Z(AV0Z1075907)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Kružík, Martin
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	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	597018
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/03:16030097
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	extreme points; polyconvexity; quasiconvexity (en)
http://linked.open.../riv/klicoveSlovo	extreme points polyconvexity quasiconvexity
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[AE761335A047]
http://linked.open...i/riv/nazevZdroje	Mathematica Bohemica
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...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Variational problems in nonsmooth mathematical physics: theory, numerical methods and applications
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	128
http://linked.open...iv/tvurceVysledku	Kružík, Martin
http://linked.open...n/vavai/riv/zamer	Uncertainty methods in theoretical cybernetics: system identification, information processing, decision-making, and control
issn	0862-7959
number of pages	10 (xsd:int)

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