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Is quasi-concavity preserved by heat flow? - MaRDI portal

Is quasi-concavity preserved by heat flow? (Q948903)

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scientific article; zbMATH DE number 5351797
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Is quasi-concavity preserved by heat flow?
scientific article; zbMATH DE number 5351797

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    Is quasi-concavity preserved by heat flow? (English)
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    16 October 2008
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    In this very nice paper the authors investigate the question if a quasi-concave initial datum remains quasi-concave at later times, i.e. if its spatial level sets continue to be convex. They give a simple counterexample in 2 dimensions and survey related results.
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    level sets
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    convexity
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    counterexample
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