  We show short time existence for the evolution of triple junction clusters
driven by the surface diffusion flow. On the triple line we use the boundary
conditions derived by Garcke and Novick-Cohen as the singular limit of a
Cahn-Hilliard equation with degenerated mobility. These conditions are
concurrency of the triple junction, angle conditions between the hypersurfaces,
continuity of the chemical potentials and a flux-balance. For the existence
analysis we first write the geometric problem over a fixed reference surface
and then use for the resulting analytic problem an approach in a parabolic
H\"older setting.

Analysis of PDEs