Log-concavity in Some Parabolic Problems

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dc.contributor.authorGreco, Antonio
dc.contributor.authorKawohl, Bernd
dc.date.accessioned2019-11-21T19:22:13Z
dc.date.available2019-11-21T19:22:13Z
dc.date.issued1999-05-28
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGreco, A., & Kawohl, B. (1999). Log-concavity in some parabolic problems. <i>Electronic Journal of Differential Equations, 1999</i>(19), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8858
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectConcavity maximum principle
dc.subjectLog-concavity
dc.subjectParabolic equation
dc.titleLog-concavity in Some Parabolic Problems
dc.typeArticle

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