Aspects of parameter identification in semilinear reaction-diffusion systems

Abstract

This thesis provides an approach for parameter identification in general semilinear parabolic partial differential equations. The problem of of parameter identification in these equations is investigated from two different angles. On one hand, Tikhonov regularization is proposed to deal with possible non continuous dependence of the parameters on the data and on the other hand the uniqueness of a solution of the parameter identification problem is discussed. Additionally, numerical results are shown that support the theoretical findings.