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.
Is quasi-concavity preserved by heat flow? / K. ISHIGE; P. SALANI. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - vol. 90 n.5:(2008), pp. 450-460.
Is quasi-concavity preserved by heat flow?
SALANI, PAOLO
2008
Abstract
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.
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