EDP : Samer Dweik (LMV) : Weighted least gradient problem via Optimal transport with Riemannian cost

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EDP : Samer Dweik (LMV) : Weighted least gradient problem via Optimal transport with Riemannian cost

16 décembre 2021 / 14:00 - 15:00

In this talk, we study the equivalence between the weighted least gradient problem and the weighted Beckmann minimal flow problem or equivalently, the optimal transport problem with Riemannian cost. Thanks to this equivalence, we prove existence and uniqueness of a solution to the weighted least gradient problem. Then, we show L^p summability on the transport density between two singular measures in the corresponding equivalent optimal transport formulation, which implies Sobolev regularity on the solution of the weighted least gradient problem.

EDP : Samer Dweik (LMV) : Weighted least gradient problem via Optimal transport with Riemannian cost

Détails

Date :
16 décembre 2021
Heure :
14:00 - 15:00
Catégorie d’évènement:

Lieu

Bâtiment Fermat, salle 4205

Organisateurs

Muriel Boulakia
Pierre Gabriel