On Perturbations of Generators of C0-Semigroups
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 results are illustrated by applications to the Desch-Schappacher and the Miyadera-Voigt perturbation t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/213020 |
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| _version_ | 1832558241241890816 |
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| author | Martin Adler Miriam Bombieri Klaus-Jochen Engel |
| author_facet | Martin Adler Miriam Bombieri Klaus-Jochen Engel |
| author_sort | Martin Adler |
| collection | DOAJ |
| description | 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 results are illustrated by applications to the Desch-Schappacher and the Miyadera-Voigt perturbation theorems and to unbounded perturbations of the boundary conditions of a generator. |
| format | Article |
| id | doaj-art-53399aa37ae34f8f918602239ccb2b82 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-53399aa37ae34f8f918602239ccb2b822025-02-03T01:32:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/213020213020On Perturbations of Generators of C0-SemigroupsMartin Adler0Miriam Bombieri1Klaus-Jochen Engel2Arbeitsbereich Funktionalanalysis, Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, GermanyArbeitsbereich Funktionalanalysis, Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, GermanyDipartimento di Ingegneria e Scienze dell’Informazione e Matematica (DISIM), Università degli Studi dell’Aquila, Via Vetoio, 67100 L’Aquila, ItalyWe 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 results are illustrated by applications to the Desch-Schappacher and the Miyadera-Voigt perturbation theorems and to unbounded perturbations of the boundary conditions of a generator.http://dx.doi.org/10.1155/2014/213020 |
| spellingShingle | Martin Adler Miriam Bombieri Klaus-Jochen Engel On Perturbations of Generators of C0-Semigroups Abstract and Applied Analysis |
| title | On Perturbations of Generators of C0-Semigroups |
| title_full | On Perturbations of Generators of C0-Semigroups |
| title_fullStr | On Perturbations of Generators of C0-Semigroups |
| title_full_unstemmed | On Perturbations of Generators of C0-Semigroups |
| title_short | On Perturbations of Generators of C0-Semigroups |
| title_sort | on perturbations of generators of c0 semigroups |
| url | http://dx.doi.org/10.1155/2014/213020 |
| work_keys_str_mv | AT martinadler onperturbationsofgeneratorsofc0semigroups AT miriambombieri onperturbationsofgeneratorsofc0semigroups AT klausjochenengel onperturbationsofgeneratorsofc0semigroups |