Fine scales of decay of operator semigroups
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 c...
| Auteurs principaux: | , , |
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| Format: | Journal article |
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European Mathematical Society
2016
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| _version_ | 1826294475796774912 |
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| author | Batty, C Chill, R Tomilov, Y |
| author_facet | Batty, C Chill, R Tomilov, Y |
| author_sort | Batty, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T03:46:13Z |
| format | Journal article |
| id | oxford-uuid:bf93036e-06c7-4e19-8356-c81c156b4da7 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:46:13Z |
| publishDate | 2016 |
| publisher | European Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:bf93036e-06c7-4e19-8356-c81c156b4da72022-03-27T05:48:25ZFine scales of decay of operator semigroupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bf93036e-06c7-4e19-8356-c81c156b4da7Symplectic Elements at OxfordEuropean Mathematical Society2016Batty, CChill, RTomilov, YMotivated 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. |
| spellingShingle | Batty, C Chill, R Tomilov, Y Fine scales of decay of operator semigroups |
| title | Fine scales of decay of operator semigroups |
| title_full | Fine scales of decay of operator semigroups |
| title_fullStr | Fine scales of decay of operator semigroups |
| title_full_unstemmed | Fine scales of decay of operator semigroups |
| title_short | Fine scales of decay of operator semigroups |
| title_sort | fine scales of decay of operator semigroups |
| work_keys_str_mv | AT battyc finescalesofdecayofoperatorsemigroups AT chillr finescalesofdecayofoperatorsemigroups AT tomilovy finescalesofdecayofoperatorsemigroups |