Effect of Kelvin-Voigt damping on spectrum analysis of a wave equation

This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. We give a detailed spectrum analysis of the system operator, from which we show that the generalized eigenfunction forms a Riesz basis for the state Hilbert space. That is, the precise and explicit...

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Bibliographic Details
Main Authors: Liqing Lu, Liyan Zhao, Jing Hu
Format: Article
Language:English
Published: Texas State University 2018-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/186/abstr.html