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On Robustness of Strongly Stable Semigroups with Spectrum on iR

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

Details

Original languageEnglish
Title of host publicationSemigroups of Operators -Theory and Applications
Subtitle of host publicationBędlewo, Poland, October 2013
EditorsJacek Banasiak, Adam Bobrowski, Mirosław Lachowicz
PublisherSpringer International Publishing
Pages105-121
Number of pages17
ISBN (Electronic)978-3-319-12145-1
ISBN (Print)978-3-319-12144-4
DOIs
Publication statusPublished - 2015
Publication typeA3 Part of a book or another research book
EventSemigroups of Operators: Theory and Applications Conference, October 6-11, 2013, Bedlewo, Poland -
Duration: 1 Jan 2013 → …

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSpringer International Publishing
Volume113
ISSN (Print)2194-1009

Conference

ConferenceSemigroups of Operators: Theory and Applications Conference, October 6-11, 2013, Bedlewo, Poland
Period1/01/13 → …

Abstract

We study the robustness properties of strong stability of a strongly continuous semigroup on a Hilbert space. We concentrate on a situation where the generator of the unperturbed semigroup has a finite spectral point on the imaginary axis and the resolvent operator is polynomially bounded elsewhere on the imaginary axis. As our main result we present conditions for preservation of the strong stability of the semigroup under bounded perturbations.

ASJC Scopus subject areas

Keywords

  • Strongly Continuous Semigroup, Functional Analysis

Publication forum classification

Field of science, Statistics Finland