21 citations · 43 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
We prove the second order differentiation formula along geodesics in finite-dimensional spaces. Our approach strongly relies on the approximation of -geodesics by e…
Benamou-Brenier and duality formulas for the entropic cost on spaces
Nicola Gigli, Luca Tamanini
In this paper we prove that, within the framework of spaces with , the entropic cost (i.e. the minimal value of the Schrödinger problem) admits: - a threef…
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula for functions along geodesics in spaces with . This formula is new even in…
Second order differentiation formula on compact spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula along geodesics in compact spaces with . This formula is new even in the context of Al…