Parabolic Minkowski convolutions of solutions to parabolic boundary value problems
type: Item
instance of: scholarly article
title: Parabolic Minkowski convolutions of solutions to parabolic boundary value problems
zbMATH Open document ID: 1386.35223
author: Kazuhiro Ishige
author: Paolo Salani
published in: Advances in Mathematics
publication date: 2015-12-03T00:00:00Z
review text: By means of introducing of a convolution, which is a sort of parabolic version of the classical supremal convolution of convex analysis, the authors compare solutions of different parabolic problems in different domains. As application, the parabolic concavity is studied for solutions to parabolic boundary value problems, analyzing in particular the case of heat equation with an inhomogeneous term and with a nonlinear reaction term.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 6516075
zbMATH Keywords: power concavity
zbMATH Keywords: heat equation
zbMATH Keywords: dead core
zbMATH Keywords: Minkowski addition
MaRDI profile type: Publication
full work available at URL: j.aim.2015.10.006
OpenAlex ID: W2228761351
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DOI: 10.1016/J.AIM.2015.10.006
description: scientific article; zbMATH DE number 6516075