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 rat es from boundary measurements will be discussed in the case of one-dimensio nal crystallization. This leads to an identification problem in a coupled s ystem of a hyperbolic and a parabolic equation. An algorithm for the solution of this inverse problem will be developed usi ng Landweber iteration as a regularization method. The behaviour of the alg orithm will be studied both numerically and mathematically on the basis of the recently developed convergence theory for iterative regularization meth ods for nonlinear inverse problems.