Oscillations and concentrations in sequences of gradients

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F08%3A00086858" target="_blank" >RIV/67985556:_____/08:00086858 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/08:00137841
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Oscillations and concentrations in sequences of gradients
Original language description
We use DiPerna's and Majda's generalization of Young measures to describe oscillations and concentrations in sequences of gradients bounded in Lebesgue spaces. Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of the domain are required and links with lower semicontinuity results by Meyers and by Acerbi and Fusco are also discussed.
Czech name
Oscilace a koncentrace v posloupnostech gradientu
Czech description
Charakterizujeme oscilace a koncentrace v posloupnostech gradientu sobolevskych funkci s pouzitim tzv. DiPernovych-Majdovych mer. Explicitni charakterizace je je dana v pripade, kdy cleny posloupnosti maji stejne stopy. Dusledkem teto charakterizace jsouvety o slabe zdola polospojitosti integralnich funkcionalu.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/IAA1075402" target="_blank" >IAA1075402: Variational analysis in nonsmooth problems of mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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