Resumen de A Survey on Perturbed Exponentially Stable C0-Semigroups

Ciprian Preda

• Let A be the generator of a C0-semigroup {T (t)}t≥0. It is known that the exponential stability property of a C0-semigroup is not always preserved when perturbing A. The aim of this paper is to offer a brief survey about conditions that should be imposed on the additive perturbations such that stability is preserved. Also, some corrolaries of known results are pointed out.