We consider solutions to the aggregation equation with Newtonian potential where
the initial data are the characteristic function of a domain with boundary of class C1+γ ,0 < γ < 1.
Such initial data are known to yield a solution that, going forward in time, retains a patch-like
structure with a constant time-dependent density inside an evolving region, which collapses on itself
in a finite time, and which, going backward in time, converges in an L1
sense to a self-similar
expanding ball solution. In this work, we prove C1+γ regularity of the domain’s boundary on the
time interval on which the solution exists as an L∞ patch, up to the collapse time going forward in
time and for all finite times going backward in time.