L^p-Tauberian theorems and L^p-rates for energy decay
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 ex...
Main Authors: | Batty, C, Borichev, A, Tomilov, Y |
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Format: | Journal article |
Published: |
Elsevier
2015
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