Abstract
We consider the Cauchy problem in R n for the system of elastic waves with structural damping. We derive (almost) optimal decay rates in time for the L 2-norm and the total energy which improves previous results for this system. To derive the estimates for elastic waves, we employ an improvement in a method in the Fourier space, which was developed in our previous works. Our estimates came from those for a generalized energy of α-order in the Fourier space.
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