  We consider the identifiability and stable numerical estimation of multiple
parameters in a Cahn-Hilliard model for phase separation. Spatially resolved
measurements of the phase fraction are assumed to be accessible, with which the
identifiability of single and multiple parameters up to certain scaling
invariances is established. A regularized equation error approach is proposed
for the stable numerical solution of the parameter identification problems, and
convergence of the regularized approximations is proven under reasonable
assumptions on the data noise. The viability of the theoretical results and the
proposed methods is demonstrated in numerical tests.

Numerical Analysis;Numerical Analysis