On the admissibility of observation operators in the context of maximal regularity.

We study admissible observation operators for perturbed evolution equations using the concept of maximal regularity. We first show the invariance of the maximal L p -regularity under non-autonomous Miyadera–Voigt perturbations. Second, we establish the invariance of admissibility of observation operators under such a class of perturbations. Finally, we illustrate our result with two examples, one on a non-autonomous parabolic system, and the other on an evolution equation subject to a Neumann boundary condition and a non local perturbation. [ABSTRACT FROM AUTHOR]