Existence of absolutely continuous solutions for continuity equations in Hilbert spaces

Giuseppe Da Prato, Franco Flandoli, Michael Roeckner

Published 2017-07-23Version 1

We prove existence of solutions to continuity equations in a separable Hilbert space. We look for solutions which are absolutely continuous with respect to a reference measure \gamma which is Fomin-differentiable with exponentially integrable partial logarithmic derivatives