Parabolic power concavity and parabolic boundary value problems

DOI10.1007/s00208-013-0991-5zbMath1325.35071arXiv1307.6482OpenAlexW2594068135MaRDI QIDQ2448339

Kazuhiro Ishige, Paolo Salani

Publication date: 30 April 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6482

zbMATH Keywords

parabolic equationsheat energy, 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 (10)

Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains ⋮ On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions ⋮ Strict power concavity of a convolution ⋮ Spreading sets and one-dimensional symmetry for reaction-diffusion equations ⋮ Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations ⋮ 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 ⋮ Combination and mean width rearrangements of solutions to elliptic equations in convex sets ⋮ Quantitative Borell-Brascamp-Lieb inequalities for compactly supported power concave functions (and some applications)

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