On approximation theorem for structured deformations from BV(Omega)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00443122" target="_blank" >RIV/67985840:_____/15:00443122 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.2140/memocs.2015.3.83" target="_blank" >http://dx.doi.org/10.2140/memocs.2015.3.83</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2140/memocs.2015.3.83" target="_blank" >10.2140/memocs.2015.3.83</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On approximation theorem for structured deformations from BV(Omega)

Popis výsledku v původním jazyce

This note deals with structured deformations introduced by Del Piero and Owen. As treated in the present paper, a structured deformation is a pair .(g,G) where g is a macroscopic deformation giving the position of points of the body and G represents deformations without disarrangements. Here g is a map of bounded variation on the reference region, and G is a Lebesgue-integrable tensorvalued map. For structured deformations of this level of generality, an approximating sequence gk of simple deformationsis constructed from the space of maps of special bounded variation on which converges in the strongly to (g,G) and for which the sequence of total variations of gk is bounded. The condition is optimal. Further, in the second part of this note, the limitrelation of Del Piero and Owen is established on the above level of generality.

Název v anglickém jazyce

On approximation theorem for structured deformations from BV(Omega)

Popis výsledku anglicky

This note deals with structured deformations introduced by Del Piero and Owen. As treated in the present paper, a structured deformation is a pair .(g,G) where g is a macroscopic deformation giving the position of points of the body and G represents deformations without disarrangements. Here g is a map of bounded variation on the reference region, and G is a Lebesgue-integrable tensorvalued map. For structured deformations of this level of generality, an approximating sequence gk of simple deformationsis constructed from the space of maps of special bounded variation on which converges in the strongly to (g,G) and for which the sequence of total variations of gk is bounded. The condition is optimal. Further, in the second part of this note, the limitrelation of Del Piero and Owen is established on the above level of generality.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0473" target="_blank" >GA201/09/0473: Metody teorie funkcí a Banachových algeber v teorii operátorů IV</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and Mechanics of Complex Systems

ISSN

2326-7186

e-ISSN

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Svazek periodika

3

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

18

Strana od-do

83-100

Kód UT WoS článku

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EID výsledku v databázi Scopus

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