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