Generic Uniqueness for Two Inverse Problems in POtential Scattering

which is written in terms of the characteristic function of the evolving set. The argument is based on implicit time-discretization, derivation of uniform estimates, and passage to thIn this paper the equation of mean curvature flow (with forcing term) is modified, to account not only for surface motion but also for nucleation and other discontinuities in set evolution. Existence of a solution is proved for a weak formulation,e limit.