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On stabilization of partial differential equations by noise
release_r3q3ey2blvfalfiwmnnxe4levy
by
Tomás Caraballo, Kai Liu, Xuerong Mao
Published
in Nagoya mathematical journal by Cambridge University Press (CUP).
2001 Volume 161, p155-170
Abstract
Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, some stability criteria from Chow [4] and Haussmann [6] are improved and subsequently applied to certain situations, on which the original criteria commonly do not work, to ensure almost sure exponential stability. This paper also extends to infinite dimension some results due to Mao [9] on stabilization of differential equations in finite dimension.
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