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

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.
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Submitted on : Monday, February 8, 2021 - 3:23:24 PM
Last modification on : Tuesday, March 15, 2022 - 11:46:01 AM

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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, American Institute of Mathematical Sciences (AIMS), 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩

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