Singularities of potential energy functionals for weak KAM solutions propagate along a minimizing-movement curve in Wasserstein space, and the curve solves a continuity equation with the minimal-energy gradient selection.
On a class of first order Hamil ton-Jacobi equations in metric spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Singularities and their propagation in optimal transport
Singularities of potential energy functionals for weak KAM solutions propagate along a minimizing-movement curve in Wasserstein space, and the curve solves a continuity equation with the minimal-energy gradient selection.