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Rigidity for the four gradient problem
journal contribution
posted on 2023-06-07, 20:53 authored by Miroslav ChlebikMiroslav Chlebik, Bernd KirchheimWe prove a general rigidity result for the maximal possible number of gradients by showing that any lipschitz function using four pairwise not rank-one connected gradients is necessarily affine. This exhibits an interesting difference between rigidity features of approximate and exact solutions of differential inclusions.
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Publication status
- Published
Journal
Journal fuer die reine und angewandte MathematikISSN
0075-4102External DOI
Issue
551Volume
2002Page range
1-9Pages
9.0Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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