Giulia Cavagnari, Politecnico di Milano, Italy, Evolution equations in Wasserstein spaces driven by dissipative probability vector fields: a variational approach
ZoomIn this talk we present well posedness of Measure Differential Equations, i.e. evolution equations in the Wasserstein space of probability measures driven by dissipative probability vector fields. We take inspiration from the theory of \emph{dissipative operators} in Hilbert spaces and of Wasserstein gradient flows of geodesically convex functionals. Our approach is based on a measure-theoretic…