On a new kind of convexity for solutions of parabolic problems

Kazuhiro Ishige; Paolo Salani

doi:10.3934/dcdss.2011.4.851

On a new kind of convexity for solutions of parabolic problems

Kazuhiro Ishige, Paolo Salani

SCI - Mathematics

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

18 Citations (Scopus)

Abstract

We introduce the notion of α-parabolic quasi-concavity for functions of space and time, which extends the usual notion of quasi-concavity and the notion of parabolic quasi-cocavity introduced in [18]. Then we investigate the α-parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum. The results here obtained are generalizations of some of the results of [18].

Original language	English
Pages (from-to)	851-864
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	4
Issue number	4
DOIs	https://doi.org/10.3934/dcdss.2011.4.851
Publication status	Published - 2011 Aug

Keywords

Convexity
Parabolic equations

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdss.2011.4.851

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AU - Salani, Paolo

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AB - We introduce the notion of α-parabolic quasi-concavity for functions of space and time, which extends the usual notion of quasi-concavity and the notion of parabolic quasi-cocavity introduced in [18]. Then we investigate the α-parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum. The results here obtained are generalizations of some of the results of [18].

KW - Convexity

KW - Parabolic equations

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ER -

On a new kind of convexity for solutions of parabolic problems

Abstract

Keywords

ASJC Scopus subject areas

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