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Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term (2109.04628v3)

Published 10 Sep 2021 in math.AP

Abstract: The Cauchy problem for a nonlinear elastic wave equations with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solutions are investigated when the initial data are sufficiently small; and asymptotic profiles as $t \to \infty$ are also derived.

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