Energy decay rates of elastic waves in unbounded domain with potential type of damping
type: Item
instance of: scholarly article
title: Energy decay rates of elastic waves in unbounded domain with potential type of damping
zbMATH Open document ID: 1218.35036
author: Ruy Coimbra Charão
author: Ryo Ikehata
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-05-10T00:00:00Z
review text: An initial value problem for the \(n\)-dimensional system of elastic waves with a power type nonlinearity is considered. For appropriate initial conditions, the system accepts a unique weak solution. Inspired by the method developed in [\textit{R. Ikehata} and \textit{Y. Inoue}, Nonlinear Anal., Theory Methods Appl. 69, No. 4, A, 1396--1401 (2008; Zbl 1149.35010)], and under very special conditions, a total energy decay result is shown. There is also an investigation on asymptotic properties of the linear system of elastic waves in an exterior domain.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35L52
zbMATH DE Number: 5886394
zbMATH Keywords: semilinear damped system
zbMATH Keywords: energy concentration region
zbMATH Keywords: power type nonlinearity
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.02.075
OpenAlex ID: W2024132537
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DOI: 10.1016/J.JMAA.2011.02.075
description: scientific article; zbMATH DE number 5886394