Journal article

Perturbations of generators of C-0-semigroups and resolvent decay

Abstract:: We obtain new stability results for those properties of C0-semigroups which admit characterisation in terms of decay of resolvents of infinitesimal generators on vertical lines, e.g. analyticity, Crandall-Pazy differentiability or immediate norm continuity in the case of Hilbert spaces. As a consequence we get a generalisation of the Kato-Neuberger theorem on approximation of the identity. Finally, we present examples shedding a new light on resolvent characterisation of eventually differentiable C0-semigroups for which differentiability is stable under bounded perturbations. © 2010 Elsevier Inc. All rights reserved.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Batty, C., & Krol, S. (2010). Perturbations of generators of C-0-semigroups and resolvent decay. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 367(2), 434–443.

MLA Style

Batty, C., and S. Krol. “Perturbations of Generators of C-0-Semigroups and Resolvent Decay.” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 367, no. 2, Elsevier, 2010, pp. 434–43.

Chicago Style

Batty, C, and S Krol. 2010. “Perturbations of Generators of C-0-Semigroups and Resolvent Decay.” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 367 (2): 434–43.
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Files:: 1-s2.0-S0022247X10000879-main.pdf

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Publisher copy:: 10.1016/j.jmaa.2010.01.048

Authors

+ Batty, C More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Krol, S More by this author

Role:: Author

Publisher:: Elsevier
Journal:: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS More from this journal
Volume:: 367
Issue:: 2
Pages:: 434-443
Publication date:: 2010-07-15
DOI:: 10.1016/j.jmaa.2010.01.048
EISSN:: 1096-0813
ISSN:: 0022-247X

Language:: English
Keywords:: Resolvent

C-0-semigroup

Perturbation
UUID:: uuid:1ea3aa0b-46cc-44aa-bc6b-cdf36ef4cbb2
Local pid:: pubs:53384
Source identifiers:: 53384
Deposit date:: 2012-12-19

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2010
Notes:: Copyright 2010 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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