A Survey on Perturbed Exponentially Stable C0-Semigroups

Ciprian Preda ^[1]
1. [1] West University of Timişoara
  
  West University of Timişoara
  
  Rumanía
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 2, 2016, págs. 541-551
Idioma: inglés
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Resumen
- 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.