The superposition principle for the continuity equation with singular flux

Stefano Almi, Riccarda Rossi, Giuseppe Savaré

Representation results for absolutely continuous curves $\hat{I}¼:[0,T]\to {\mathcal{P}}_p({\mathbb{R}}^d)$, $p>1$, with values in the Wasserstein space $({\mathcal{P}}_p({\mathbb{R}}^d),W_p)$ o…