On some typicality and density results for nonsmooth vector fields and the associated ODE and continuity equation

Francesco Cianfrocca, Stefano Modena

These notes address two problems. First, we investigate the question of ``how many'' are (in Baire sense) vector fields in $L_t^1{L}_x^q$, $q\in [1,\infty )$, for which existence a…