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Journal Articles Evolution Equations and Control Theory Year : 2013

Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems

F. Abdallah
  • Function : Author
D. Mercier
  • Function : Author

Abstract

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.

Dates and versions

hal-03134858 , version 1 (08-02-2021)

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F. Abdallah, D. Mercier, Serge Nicaise. Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Evolution Equations and Control Theory, 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩
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