A note on resonant frequencies for a system of elastic wave equations
type: Item
instance of: scholarly article
title: A note on resonant frequencies for a system of elastic wave equations
zbMATH Open document ID: 1086.35013
DOI: 10.1155/S0161171204303248
author: Luis A. Cortés-Vega
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/52308
review text: Summary: We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. THE approach follows techniques similar to those of the author [J. Math. Anal. Appl. 279, No. 1, 43--55 (2003; Zbl 1015.35021)]. The proposed technique relies on a stationary approach of resonant frequencies, that is, the poles of the analytic continuation of the solution.
Mathematics Subject Classification ID: 35B34
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 2171796
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2171796