GENERALIZED W1,1-YOUNG MEASURES AND RELAXATION OF PROBLEMS WITH LINEAR GROWTH

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00381738" target="_blank" >RIV/68407700:21110/18:00381738 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985556:_____/18:00487019

Výsledek na webu

<a href="https://doi.org/10.1137/16M1103464" target="_blank" >https://doi.org/10.1137/16M1103464</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/16M1103464" target="_blank" >10.1137/16M1103464</a>

Jazyk výsledku

angličtina

Název v původním jazyce

GENERALIZED W1,1-YOUNG MEASURES AND RELAXATION OF PROBLEMS WITH LINEAR GROWTH

Popis výsledku v původním jazyce

In this work we completely characterize generalized Young measures generated by sequences of gradients of maps in W-1,W-1(Omega;R-M), where Omega subset of R-N. This characterization extends and completes previous analysis by Kristensen and Rindler [Arch. Ration. Mech. Anal., 197 (2010), pp. 539-598 and 203 (2012), pp. 693-700] where concentrations of the sequence of gradients at the boundary of Omega were excluded. As an application of our result we study the relaxation of nonquasiconvex variational problems with linear growth at infinity, and, finally, we link our characterization to Soueek spaces [J. Soueek, Casopis Pro P'estovcini Matematiky, 97 (1972), pp. 10-46], an extension of W-1,W-1(Omega;R-M) where gradients are considered as measures on (Omega) over bar.

Název v anglickém jazyce

GENERALIZED W1,1-YOUNG MEASURES AND RELAXATION OF PROBLEMS WITH LINEAR GROWTH

Popis výsledku anglicky

In this work we completely characterize generalized Young measures generated by sequences of gradients of maps in W-1,W-1(Omega;R-M), where Omega subset of R-N. This characterization extends and completes previous analysis by Kristensen and Rindler [Arch. Ration. Mech. Anal., 197 (2010), pp. 539-598 and 203 (2012), pp. 693-700] where concentrations of the sequence of gradients at the boundary of Omega were excluded. As an application of our result we study the relaxation of nonquasiconvex variational problems with linear growth at infinity, and, finally, we link our characterization to Soueek spaces [J. Soueek, Casopis Pro P'estovcini Matematiky, 97 (1972), pp. 10-46], an extension of W-1,W-1(Omega;R-M) where gradients are considered as measures on (Omega) over bar.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Svazek periodika

50

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

44

Strana od-do

1076-1119

Kód UT WoS článku

000426630900034

EID výsledku v databázi Scopus

2-s2.0-85043500334