Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces

Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini

We introduce and investigate a notion of multivalued $\lambda$-dissipative probability vector field (MPVF) in the Wasserstein space ${\mathcal{P}}_2(\mathsf{X})$ of Borel probability measur…