On the energy decay rates for the 1D damped fractional Klein–Gordon equation

Satbir Malhi and Milena Stanislavova

Mathematische Nachrichten, 2020, vol. 293, issue 2, 363-375

Abstract: We consider the fractional Klein–Gordon equation in one spatial dimension, subjected to a damping coefficient, which is non‐trivial and periodic, or more generally strictly positive on a periodic set. We show that the energy of the solution decays at the polynomial rate Ot−s4−2s for 0

Date: 2020
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