English

On Perturbations of Generators of $C_0$-Semigroups

Functional Analysis 2014-02-07 v1

Abstract

We present a perturbation result for generators of C0C_0-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.

Keywords

Cite

@article{arxiv.1402.1353,
  title  = {On Perturbations of Generators of $C_0$-Semigroups},
  author = {M. Adler and M. Bombieri and K. -J. Engel},
  journal= {arXiv preprint arXiv:1402.1353},
  year   = {2014}
}