What does rank-one convexity have to do with viscosity solutions? (Q1712795)
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scientific article; zbMATH DE number 7009756
| Language | Label | Description | Also known as |
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| English | What does rank-one convexity have to do with viscosity solutions? |
scientific article; zbMATH DE number 7009756 |
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What does rank-one convexity have to do with viscosity solutions? (English)
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31 January 2019
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In this paper, based on Hilbert's theorem for positive polynomials, it is proved that rank-one convex functions associated with \(2 \times 2\)-matrices admit a decomposition as a sum of a multiple of the corresponding determinant and a viscosity solution for a certain equation. For the entire collection see [Zbl 1395.00083].
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Hilbert's theorem for positive polynomials
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