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...

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Bibliographic Details
Main Authors: Batty, C, Borichev, A, Tomilov, Y
Format: Journal article
Published: Elsevier 2015