Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 161 (2001), 155-170.
On stabilization of partial differential equations by noise
Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, some stability criteria from Chow  and Haussmann  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  on stabilization of differential equations in finite dimension.
Nagoya Math. J., Volume 161 (2001), 155-170.
First available in Project Euclid: 27 April 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60H15: Stochastic partial differential equations [See also 35R60]
Secondary: 35B10: Periodic solutions 35K15: Initial value problems for second-order parabolic equations 35K20: Initial-boundary value problems for second-order parabolic equations 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]
Caraballo, Tomás; Liu, Kai; Mao, Xuerong. On stabilization of partial differential equations by noise. Nagoya Math. J. 161 (2001), 155--170. https://projecteuclid.org/euclid.nmj/1114631556