Counterexamples to Quasiconcavity for the Heat Equation

DOI10.1093/imrn/rny243zbMath1459.35228arXiv1802.04770OpenAlexW2963783958WikidataQ124828682 ScholiaQ124828682MaRDI QIDQ5854228

Ben Weinkove, Albert Chau

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04770

zbMATH Keywords

heat equation on convex ringssmooth and subharmonic initial data

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (6)

Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations ⋮ Non-preservation of \(\alpha\)-concavity for the porous medium equation ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ Strong space-time convexity and the heat equation ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ The Stefan problem and concavity

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