Abstract
In the paper, we investigate the linear wave equation with viscoelastic damping on the Heisenberg group Hn. Basing on the group Fourier transform on Hn and on the properties of the Hermite functions, we derive some L2(Hn)−L2(Hn) estimates with additional L1(Hn) regularity on initial data for the solution and its higher-order horizontal gradients.
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