Observability for Non-autonomous Systems

We study non-autonomous observation systems , where is a strongly measurable family of closed operators on Banach space and bounded from to . Based an abstract uncertainty principle dissipation estimate, we prove that the system satisfies final-state observability estimate in for subsets present applications above result families uniformly elliptic differential as well Ornstein–Uhlenbeck with In setting operators, derive necessary sufficient geometric conditions sets such corresponding estimate.