Parabolic quasi‐concavity for solutions to parabolic problems in convex rings | Zendy

Ishige Kazuhiro | Zendy; Salani Paolo | Zendy

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Parabolic quasi‐concavity for solutions to parabolic problems in convex rings

Author(s) -

Ishige Kazuhiro,

Salani Paolo

Publication year - 2010

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200910242

Subject(s) - mathematics , convexity , regular polygon , property (philosophy) , space (punctuation) , parabolic partial differential equation , pure mathematics , mathematical analysis , geometry , computer science , partial differential equation , philosophy , epistemology , financial economics , economics , operating system

We investigate some geometric properties of level sets of the solutions of parabolic problems in convex rings. We introduce the notion of parabolic quasi‐concavity , which involves time and space jointly and is a stronger property than the spatial quasi‐concavity, and study the convexity of superlevel sets of the solutions (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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