Is quasi-concavity preserved by heat flow?
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We investigate on the preservation of spatial quasi-concavity of the initial datum by the solutions of the heat equation and we give negative results in dimension N ≥ 2.
Mathematics Subject Classification (2000).35K05 52A01 35B05 35B30
Keywords.Quasi-concavity heat equation level sets convexity
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© Birkhaeuser 2008