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

Kazuhiro Ishige; Paolo Salani

doi:10.1002/mana.200910242

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

Kazuhiro Ishige, Paolo Salani

SCI - Mathematics

Research output: Contribution to journal › Editorial › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1526-1548
Number of pages	23
Journal	Mathematische Nachrichten
Volume	283
Issue number	11
DOIs	https://doi.org/10.1002/mana.200910242
Publication status	Published - 2010 Nov

Keywords

Convexity
Parabolic equations
Quasi-concavity

ASJC Scopus subject areas

Mathematics(all)

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10.1002/mana.200910242

Cite this

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title = "Parabolic quasi-concavity for solutions to parabolic problems in convex rings",

abstract = "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.",

keywords = "Convexity, Parabolic equations, Quasi-concavity",

author = "Kazuhiro Ishige and Paolo Salani",

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AU - Ishige, Kazuhiro

AU - Salani, Paolo

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N2 - 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.

AB - 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.

KW - Convexity

KW - Parabolic equations

KW - Quasi-concavity

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M3 - Editorial

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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