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A note on parabolic power concavity

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Publication:487285
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DOI10.2996/kmj/1414674615zbMath1316.35145OpenAlexW2009923655MaRDI QIDQ487285

Paolo Salani, Kazuhiro Ishige

Publication date: 19 January 2015

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1414674615


zbMATH Keywords

heat equationparabolic concavitypower concavity


Mathematics Subject Classification ID

Heat equation (35K05) Axiomatic and generalized convexity (52A01) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)


Related Items (6)

Power- and log-concavity of viscosity solutions to some elliptic Dirichlet problems ⋮ Existence and convexity of solutions of the fractional heat equation ⋮ Every convex body has a unique illuminating center ⋮ Parabolic Minkowski convolutions of solutions to parabolic boundary value problems ⋮ Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations ⋮ Power concavity in weakly coupled elliptic and parabolic systems






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