Journal article
L^p-Tauberian theorems and L^p-rates for energy decay
- Abstract:
- We prove Lp-analogues of the classical tauberian theorem of Ingham and Karamata, and its variations giving rates of decay. These results are applied to derive Lp-decay of operator families arising in the study of the decay of energy for damped wave equations and local energy for wave equations in exterior domains. By constructing some examples of critical behaviour we show that the Lp-rates of decay obtained in this way are best possible under our assumptions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 475.6KB)
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- Publisher copy:
- 10.1016/j.jfa.2015.12.003
Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Journal of Functional Analysis Journal website
- Volume:
- 270
- Issue:
- 3
- Pages:
- 1153-1201
- Publication date:
- 2015-12-28
- DOI:
- ISSN:
-
0022-1236
Item Description
- Keywords:
- Pubs id:
-
pubs:580079
- UUID:
-
uuid:b661c037-cd27-4ca7-bd29-01f7eddc4007
- Local pid:
- pubs:580079
- Source identifiers:
-
580079
- Deposit date:
- 2015-12-16
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2015
- Notes:
- © 2015 Elsevier Inc. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: 10.1016/j.jfa.2015.12.003
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