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On Robustness of Strongly Stable Semigroups with Spectrum on iR

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On Robustness of Strongly Stable Semigroups with Spectrum on iR. / Paunonen, Lassi.

Semigroups of Operators -Theory and Applications: Będlewo, Poland, October 2013. toim. / Jacek Banasiak; Adam Bobrowski; Mirosław Lachowicz. Springer International Publishing, 2015. s. 105-121 (Springer Proceedings in Mathematics & Statistics; Vuosikerta 113).

Tutkimustuotosvertaisarvioitu

Harvard

Paunonen, L 2015, On Robustness of Strongly Stable Semigroups with Spectrum on iR. julkaisussa J Banasiak, A Bobrowski & M Lachowicz (toim), Semigroups of Operators -Theory and Applications: Będlewo, Poland, October 2013. Springer Proceedings in Mathematics & Statistics, Vuosikerta. 113, Springer International Publishing, Sivut 105-121, 1/01/13. https://doi.org/10.1007/978-3-319-12145-1

APA

Paunonen, L. (2015). On Robustness of Strongly Stable Semigroups with Spectrum on iR. teoksessa J. Banasiak, A. Bobrowski, & M. Lachowicz (Toimittajat), Semigroups of Operators -Theory and Applications: Będlewo, Poland, October 2013 (Sivut 105-121). (Springer Proceedings in Mathematics & Statistics; Vuosikerta 113). Springer International Publishing. https://doi.org/10.1007/978-3-319-12145-1

Vancouver

Paunonen L. On Robustness of Strongly Stable Semigroups with Spectrum on iR. julkaisussa Banasiak J, Bobrowski A, Lachowicz M, toimittajat, Semigroups of Operators -Theory and Applications: Będlewo, Poland, October 2013. Springer International Publishing. 2015. s. 105-121. (Springer Proceedings in Mathematics & Statistics). https://doi.org/10.1007/978-3-319-12145-1

Author

Paunonen, Lassi. / On Robustness of Strongly Stable Semigroups with Spectrum on iR. Semigroups of Operators -Theory and Applications: Będlewo, Poland, October 2013. Toimittaja / Jacek Banasiak ; Adam Bobrowski ; Mirosław Lachowicz. Springer International Publishing, 2015. Sivut 105-121 (Springer Proceedings in Mathematics & Statistics).

Bibtex - Lataa

@inbook{05da41f175614320baf6abbedbedbb15,
title = "On Robustness of Strongly Stable Semigroups with Spectrum on iR",
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.",
keywords = "Strongly Continuous Semigroup, Functional Analysis",
author = "Lassi Paunonen",
year = "2015",
doi = "10.1007/978-3-319-12145-1",
language = "English",
isbn = "978-3-319-12144-4",
series = "Springer Proceedings in Mathematics & Statistics",
publisher = "Springer International Publishing",
pages = "105--121",
editor = "Jacek Banasiak and Adam Bobrowski and Mirosław Lachowicz",
booktitle = "Semigroups of Operators -Theory and Applications",

}

RIS (suitable for import to EndNote) - Lataa

TY - CHAP

T1 - On Robustness of Strongly Stable Semigroups with Spectrum on iR

AU - Paunonen, Lassi

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Strongly Continuous Semigroup

KW - Functional Analysis

U2 - 10.1007/978-3-319-12145-1

DO - 10.1007/978-3-319-12145-1

M3 - Chapter

SN - 978-3-319-12144-4

T3 - Springer Proceedings in Mathematics & Statistics

SP - 105

EP - 121

BT - Semigroups of Operators -Theory and Applications

A2 - Banasiak, Jacek

A2 - Bobrowski, Adam

A2 - Lachowicz, Mirosław

PB - Springer International Publishing

ER -