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math.AP2025
Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations
Louis-Pierre Chaintron, Giovanni Conforti, Katharina Eichinger
A well-known consequence of the Pr{é}kopa-Leindler inequality is the preservation of logconcavity by the heat semigroup. Unfortunately, this property does not hold for more general…
math.AP2024
Hamilton--Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
Giovanni Conforti, Richard C. Kraaij, Luca Tamanini +1
This work is the third part of a program initiated in arXiv:2111.13258, arXiv:2302.06571 aiming at the development of an intrinsic geometric well-posedness theory for Hamilton-Jaco…