An elementary proof of Marcellini Sbordone semicontinuity theorem

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F23%3A00012106" target="_blank" >RIV/46747885:24510/23:00012106 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/60076658:12410/23:43906883
Výsledek na webu
<a href="https://www.kybernetika.cz/content/2023/5/723" target="_blank" >https://www.kybernetika.cz/content/2023/5/723</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2023-5-0723" target="_blank" >10.14736/kyb-2023-5-0723</a>

Jazyk výsledku
angličtina
Název v původním jazyce
An elementary proof of Marcellini Sbordone semicontinuity theorem
Popis výsledku v původním jazyce
The weak lower semicontinuity of the functional F(u) = f (x, u, backward difference u) dx omega is a classical topic that was studied thoroughly. It was shown that if the function f is continuous and convex in the last variable, the functional is sequentially weakly lower semicontinuous on W1,P(omega). However, the known proofs use advanced instruments of real and functional analysis. Our aim here is to present a proof understandable even for students familiar only with the elementary measure theory.
Název v anglickém jazyce
An elementary proof of Marcellini Sbordone semicontinuity theorem
Popis výsledku anglicky
The weak lower semicontinuity of the functional F(u) = f (x, u, backward difference u) dx omega is a classical topic that was studied thoroughly. It was shown that if the function f is continuous and convex in the last variable, the functional is sequentially weakly lower semicontinuous on W1,P(omega). However, the known proofs use advanced instruments of real and functional analysis. Our aim here is to present a proof understandable even for students familiar only with the elementary measure theory.

Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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