Limits of inner superposition operators and Young measures (Q1969385)
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scientific article; zbMATH DE number 1416221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limits of inner superposition operators and Young measures |
scientific article; zbMATH DE number 1416221 |
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Limits of inner superposition operators and Young measures (English)
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8 August 2000
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The author considers a weakly convergent sequence of inner superposition operators acting as bounded operators from \(L_p(\Omega)\) to \(L_q(\Omega)\) where \(\Omega\) is an open subset of \(\mathbb R^n\), \(1\leq q\leq p<\infty\). It is shown that the limit operator can be represented as an integral operator with a Young measure. Examples related to optimal control problems are given, in which the measures are found explicitly.
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inner superposition operator
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Young measure
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weak operator convergence
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