A smooth variational principle on Wasserstein space
arXiv:2209.15028
Abstract
In this note, we provide a smooth variational principle on Wasserstein space by constructing a smooth gauge-type function using the sliced Wasserstein distance. This function is a crucial tool for optimization problems and in viscosity theory of PDEs on Wasserstein space.
Keywords: Smooth variational principle, sliced Wasserstein distance, optimal transport