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arXiv · 2109.04628

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

Yoshiyuki Kagei·Hiroshi Takeda
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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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Yoshiyuki Kagei, Hiroshi Takeda. 2021-09-10. Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term. https://arxiv.org/abs/2109.04628

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