  The LSW theory of Ostwald ripening concerns the time evolution of the size
distribution of a dilute system of particles that evolve by diffusional mass
transfer with a common mean field. We prove global existence, uniqueness and
continuous dependence on initial data for measure-valued solutions with compact
support in particle size.
  These results are established with respect to a natural topology on the space
of size distributions, one given by the Wasserstein metric which measures the
smallest maximum volume change required to rearrange one distribution into
another.
