On stabilization of partial differential equations by noise

Tomás Caraballo, Kai Liu, Xuerong Mao
2001 Nagoya mathematical journal  
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.
doi:10.1017/s0027763000022169 fatcat:r3q3ey2blvfalfiwmnnxe4levy