Superposition principle and schemes for measure differential equations

Measure Differential Equations (MDE) describe the evolution of probability measures driven by velocity fields, i.e. on tangent bundle. They are, one side, a measure-theoretic generalization ordinary differential equations; other they allow to concentration and diffusion phenomena typical kinetic equations. In this paper, we analyze some properties class equations, especially highlighting their link with nonlocal continuity We prove representation result in spirit Superposition Principle Ambrosio-Gigli-Savaré, provide alternative schemes converging solution MDE, particular view uniqueness/non-uniqueness phenomena. style='text-indent:20px;'> style='text-indent:20px;'>Erratum: The month information has been corrected from January February. apologize for any inconvenience may cause.