Conditions on integral functional implying validity of the theory of weak convergence (Q656392)
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scientific article; zbMATH DE number 5998452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditions on integral functional implying validity of the theory of weak convergence |
scientific article; zbMATH DE number 5998452 |
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Conditions on integral functional implying validity of the theory of weak convergence (English)
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17 January 2012
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In this Doklady paper the author announces four theorems which give conditions implying validity of the theory of weak convergence (lower semicontinuity, relaxation, convergence with a functional, lower semicontinuous envelope). As a main auxiliary result a characterization of L-gradient Young measures serves, which was already proved under special conditions by \textit{D. Kinderlehrer} and \textit{P. Pedregal} [J. Geom. Anal. 4, No. 1, 59--90 (1994; Zbl 0808.46046)].
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lower semicontinuity
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relaxation
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Young measure
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intergral functional
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weak convergence
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Carathéodory condition
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