EECT
Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems
Farah Abdallah Denis Mercier Serge Nicaise
Evolution Equations & Control Theory 2013, 2(1): 1-33 doi: 10.3934/eect.2013.2.1
In this paper, we consider two damped wave problems for which the damping terms are allowed to change their sign. Using a careful spectral analysis, we find critical values of the damping coefficients for which the problem becomes exponentially or polynomially stable up to these critical values.
keywords: Indefinite damping spectral analysis. Riesz basis

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