A Lagrangian superposition principle for the continuity equation with reaction

Stefano Almi, Giacomo Enrico Sodini

We study the continuity equation with reaction ${\partial }_t\mu +\mathrm{div}(v\mu )=w\mu$ on $[0,T]\times {\mathbb{R}}^d$, driven by Borel velocity and reaction fields $v$ and $w$. We…