Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions
type: Item
instance of: scholarly article
title: Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions
zbMATH Open document ID: 1264.35050
author: Jieqiong Wu
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-01-14T00:00:00Z
review text: This model has been considered by the author in a recent paper [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6562--6569 (2012; Zbl 1252.35179)]. He proved the existence of a solution. The energy \(E(t)\) of the model is defined here using the Riemannian metric in \(\mathbb R^n\). The energy estimate is proved under some special assumptions on the coefficients of the considered IBV problem, involving a condition related to a certain escape vector field. This type of conditions have been introduced, some times ago, while studying the controllability of the wave equation with variable coefficients.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 6125391
zbMATH Keywords: Riemannian geometry method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.09.056
OpenAlex ID: W2021464000
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DOI: 10.1016/J.JMAA.2012.09.056
description: scientific article; zbMATH DE number 6125391