Quasiconvexity at the boundary and concentration effects generated by gradients
Result description
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures at the boundary of the domain in the case of the compactification of the space of matrices by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden. As a consequence we get new results on weak sequential continuity of certain integral functionals.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Quasiconvexity at the boundary and concentration effects generated by gradients
Original language description
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures at the boundary of the domain in the case of the compactification of the space of matrices by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden. As a consequence we get new results on weak sequential continuity of certain integral functionals.
Czech name
—
Czech description
—
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
GAP201/10/0357: Modern mathematical and computational models for inelastic processes in solids
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ESAIM: Control, Optimisation and Calculus of Variations
ISSN
1262-3377
e-ISSN
—
Volume of the periodical
19
Issue of the periodical within the volume
3
Country of publishing house
FR - FRANCE
Number of pages
22
Pages from-to
679-700
UT code for WoS article
000322458300004
EID of the result in the Scopus database
—
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2013