Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Analysis of PDEs
2021-11-09 v3
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 are also derived.
Keywords
Cite
@article{arxiv.2109.04628,
title = {Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term},
author = {Yoshiyuki Kagei and Hiroshi Takeda},
journal= {arXiv preprint arXiv:2109.04628},
year = {2021}
}