  In this study, we consider a general time-space system, whose model operator
and observation operator are locally Lipschitz continuous, over a finite time
horizon and parameter identification by using Landweber-Kaczmarz
regularization. The problem is investigated in two different modeling settings:
An All-at-once and a Reduced version, together with two observation scenarios:
continuous and discrete observations. Segmenting the time line into several
subintervals leads to the idea of applying the Kaczmarz method. A loping
strategy is incorporated into the method to yield the loping Landweber-Kaczmarz
iteration.
