Log-concavity in some parabolic problems

We improve a concavity maximum principle for parabolic equations of the second order, which was initially established by Korevaar, and then we use this result to investigate some boundary value problems. In particular, we find structural conditions on the equation, and suitable conditions on the dom...

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Bibliographic Details
Main Authors:	Antonio Greco, Bernd Kawohl
Format:	Article
Language:	English
Published:	Texas State University 1999-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	Concavity maximum principle Log-concavity Parabolic equation.
Online Access:	http://ejde.math.txstate.edu/Volumes/1999/19/abstr.html

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spelling	doaj-eb18fe0a6c564de88ca1647ba7f5aac32020-11-25T00:32:41ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-05-01199919112Log-concavity in some parabolic problemsAntonio GrecoBernd KawohlWe improve a concavity maximum principle for parabolic equations of the second order, which was initially established by Korevaar, and then we use this result to investigate some boundary value problems. In particular, we find structural conditions on the equation, and suitable conditions on the domain of the problem and on the boundary data, that suffice to yield spatial log-concavity of the (positive) solution. Examples and applications are provided, and some unsolved problems are pointed out. We also survey some classical as well as recent contributions to the subject. http://ejde.math.txstate.edu/Volumes/1999/19/abstr.htmlConcavity maximum principleLog-concavityParabolic equation.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Antonio Greco Bernd Kawohl
spellingShingle	Antonio Greco Bernd Kawohl Log-concavity in some parabolic problems Electronic Journal of Differential Equations Concavity maximum principle Log-concavity Parabolic equation.
author_facet	Antonio Greco Bernd Kawohl
author_sort	Antonio Greco
title	Log-concavity in some parabolic problems
title_short	Log-concavity in some parabolic problems
title_full	Log-concavity in some parabolic problems
title_fullStr	Log-concavity in some parabolic problems
title_full_unstemmed	Log-concavity in some parabolic problems
title_sort	log-concavity in some parabolic problems
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	1999-05-01
description	We improve a concavity maximum principle for parabolic equations of the second order, which was initially established by Korevaar, and then we use this result to investigate some boundary value problems. In particular, we find structural conditions on the equation, and suitable conditions on the domain of the problem and on the boundary data, that suffice to yield spatial log-concavity of the (positive) solution. Examples and applications are provided, and some unsolved problems are pointed out. We also survey some classical as well as recent contributions to the subject.
topic	Concavity maximum principle Log-concavity Parabolic equation.
url	http://ejde.math.txstate.edu/Volumes/1999/19/abstr.html
work_keys_str_mv	AT antoniogreco logconcavityinsomeparabolicproblems AT berndkawohl logconcavityinsomeparabolicproblems
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Log-concavity in some parabolic problems

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