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arXiv · 1407.2172

Rate of decay of some Petrowsky-like dissipative systems

Kais Ammari·Mouez Dimassi·Maher Zerzeri
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Abstract

In this paper, we show that the fastest decay rate for some Petrowsky-like dissipative systems is given by the supremum of the real part of the spectrum of the infinitesimal generator of the underlying semigroup, if the corresponding operator satisfied some spectral gap condition. We give also some applications to illustrate our setting.

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Kais Ammari, Mouez Dimassi, Maher Zerzeri. 2014-07-08. Rate of decay of some Petrowsky-like dissipative systems. https://arxiv.org/abs/1407.2172

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