On Perturbations of Generators of C₀-Semigroups

2014/02/06 by Martin Adler, Adler, M., Miriam Bombieri +3
Computer Science · Economics, Econometrics and Finance · Engineering · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Stability and Controllability of Differential Equations #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1402.1353

openalex publication_date 2014/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a perturbation result for generators of C₀-semigroups which can be considered as an operator theoretic version of the Weiss-Staffans perturbation theorem for abstract linear systems. The result are illustrated by applications to the Desch-Schappacher, the Miyadera Voigt perturbation theorems, and to unbounded perturbations of the boundary conditions of a generator.

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