A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients

Kristian Bredies, Marcello Carioni, Silvio Fanzon

We study measure-valued solutions of the inhomogeneous continuity equation ${\partial }_t{\rho }_t+\mathrm{div}(v{\rho }_t)=g{\rho }_t$ where the coefficients $v$ and $g$ are of low regularity. A ne…