Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415023 | Journal of Functional Analysis | 2016 | 49 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles J.K. Batty, Alexander Borichev, Yuri Tomilov,