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Rate of decay of some Petrowsky-like dissipative systems

Published 8 Jul 2014 in math.AP | (1407.2172v1)

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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