Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity
type: Item
instance of: scholarly article
title: Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity
zbMATH Open document ID: 1117.35008
author: Ryo Ikehata
author: Ruy Coimbra Charão
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-05-15T00:00:00Z
review text: Under some assumptions on Lamé coefficients, the existence and uniqueness of a small global in time weak solution to a semilinear system of elastic waves on a \(n\)-dimensional exterior domain with damping near infinity satisfying the Dirichlet boundary conditions are proved. Using the estimates for the corresponding linear system, the authors obtain decay rate of the total energy and the \(L^2\)-norm of the above solution for \(t\rightarrow \infty .\)
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 74H40
zbMATH DE Number: 5152801
zbMATH Keywords: semilinear system
zbMATH Keywords: elastic wave
zbMATH Keywords: decay rate
zbMATH Keywords: global existence
zbMATH Keywords: Dirichlet boundary conditions
MaRDI profile type: Publication
full work available at URL: j.na.2006.06.001
OpenAlex ID: W2074753839
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DOI: 10.1016/J.NA.2006.06.001
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description: scientific article; zbMATH DE number 5152801