A new method to obtain decay rate estimates for dissipative systems with localized damping
type: Item
instance of: scholarly article
title: A new method to obtain decay rate estimates for dissipative systems with localized damping
zbMATH Open document ID: 0940.35034
author: Patrick Martinez
published in: Revista Matemática Complutense
publication date: 2000-07-10T00:00:00Z
full work available at URL: https://eudml.org/doc/44442
review text: Using a piece-wise multiplier method and new integral inequalities the author gives a precise asymptotic estimate of the solutions to the initial boundary value problem for the equation \(u_{tt}-\triangle u +f(x,u_t)=0\) \((x\in \Omega \subset \mathbb{R}^n\), \(t>0)\) with Dirichlet boundary conditions. As an application of the theory there is discussed the energy decay for elastodynamic system with locally distributed damping.
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 1330686
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: dissipative wave equation
zbMATH Keywords: elastodynamic system with locally distributed damping
zbMATH Keywords: stabilization of the solution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1330686