Journal article

Fine scales of decay of operator semigroups

Abstract:: Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent interest.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Batty, C., Chill, R., & Tomilov, Y. (2016). Fine scales of decay of operator semigroups. Journal of the European Mathematical Society, 18(4), 853–929.

MLA Style

Batty, C., et al. “Fine Scales of Decay of Operator Semigroups.” Journal of the European Mathematical Society, vol. 18, no. 4, European Mathematical Society, 2016, pp. 853–929.

Chicago Style

Batty, C, R Chill, and Y Tomilov. 2016. “Fine Scales of Decay of Operator Semigroups.” Journal of the European Mathematical Society 18 (4): 853–929.
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Files:: Ingpaper2(jemstyle).pdf

(Preview, Accepted manuscript, pdf, 445.5KB, Terms of use)

Publisher copy:: 10.4171/JEMS/605

Authors

+ Batty, C More by this author

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

+ Chill, R More by this author

Role:: Author

+ Tomilov, Y More by this author

Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

Grant:: EP/J010723/1

+ Leverhulme Trust More from this funder

Publisher:: European Mathematical Society
Journal:: Journal of the European Mathematical Society More from this journal
Volume:: 18
Issue:: 4
Pages:: 853-929
Publication date:: 2016-01-01
DOI:: 10.4171/JEMS/605
ISSN:: 1435-9855

Pubs id:: pubs:615192
UUID:: uuid:bf93036e-06c7-4e19-8356-c81c156b4da7
Local pid:: pubs:615192
Source identifiers:: 615192
Deposit date:: 2016-10-21

Terms of use

Copyright holder:: European Mathematical Society
Copyright date:: 2016
Notes:: Copyright © 2016 European Mathematical Society.

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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