Stabilization of evolution equations by noise

Kwiecińska, Anna

doi:10.1090/S0002-9939-02-06443-2

Stabilization of evolution equations by noise
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by Anna A. Kwiecińska

Proc. Amer. Math. Soc. 130 (2002), 3067-3074

DOI: https://doi.org/10.1090/S0002-9939-02-06443-2

Published electronically: March 29, 2002

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Abstract:

We consider a deterministic equation of evolution \[ X’(t)=AX(t)dt,\] in a separable, real Hilbert space. We prove that if $A$ generates a $C_0$-semigroup, then this equation can be stabilized, in terms of Lyapunov exponents, by noise.

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