Inverse problems related to crystallization of polymers

This paper is devoted to identification problems in polymer crystallization processes. As a first step the identification of nucleation and growth rates from boundary measurements will be discussed in the case of one-dimensional crystallization. This leads to an identification problem in a coupled system of a hyperbolic and a parabolic equation. An algorithm for the solution of this inverse problem will be developed using Landweber iteration as a regularization method. The behaviour of the algorithm will be studied both numerically and mathematically on the basis of the recently developed convergence theory for iterative regularization methods for nonlinear inverse problems.