Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Nonlinear Analysis(2022)
摘要
The Cauchy problem for a nonlinear elastic wave equation 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→∞ are also derived.
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