Long time behavior for the visco-elastic damped wave equation in $\mathbb{R}^n_+$ and the boundary effect

In this paper, we investigate the existence and long time behavior of the solution for the nonlinear visco-elastic damped wave equation in $\mathbb{R}^n_+$, provided that the initial data is sufficiently small. It is shown that for the long time, one can use the convected heat kernel to describe the...

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Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Author:	Linglong Du
Format:	Article
Language:	English
Published:	AIMS Press 2018-09-01
Subjects:	initial-boundary value problem visco-elastic damped wave equation absorbing and radiative boundary condition green's function method
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2018025