bibtype J - Journal Article
ARLID 0575874
utime 20240402214447.9
mtime 20230927235959.9
SCOPUS 85122609987
WOS 000739284900001
DOI 10.1515/acv-2021-0063
title (primary) (eng) Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities
specification
page_count 31 s.
media_type P
serial
ARLID cav_un_epca*0361697
ISSN 1864-8258
title Advances in Calculus of Variations
volume_id 16
volume 4 (2023)
page_num 835-865
keyword Lower semicontinuity
keyword nonreflexive spaces
keyword relaxation
keyword concentration effects
author (primary)
ARLID cav_un_auth*0359168
name1 Krömer
name2 Stefan
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
full_dept Department of Decision Making Theory
country DE
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0455505
name1 Zappale
name2 E.
country IT
share 33
garant K
source
url http://library.utia.cas.cz/separaty/2023/MTR/kromer-0575874-preprint.pdf
source
url https://www.degruyter.com/document/doi/10.1515/acv-2021-0063/html
cas_special
project
project_id GF19-29646L
agency GA ČR
country CZ
ARLID cav_un_auth*0385134
abstract (eng) For an integral functional defined on functions (u, v) ∈ W1,1 × L1 featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variations and Radon measures. Interplay between measures and discontinuities bring various additional difficulties, and concentration effects in recovery sequences play a major role for the relaxed functional even if the limit measures are absolutely continuous with respect to the Lebesgue one.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2024
num_of_auth 3
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0345850
confidential S
mrcbC91 C
mrcbT16-e MATHEMATICS|MATHEMATICSAPPLIED
mrcbT16-j 1.132
mrcbT16-s 1.618
mrcbT16-D Q1
mrcbT16-E Q1
arlyear 2023
mrcbU14 85122609987 SCOPUS
mrcbU24 PUBMED
mrcbU34 000739284900001 WOS
mrcbU63 cav_un_epca*0361697 Advances in Calculus of Variations Roč. 16 č. 4 2023 835 865 1864-8258 1864-8266