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2001 On stabilization of partial differential equations by noise
Tomás Caraballo, Kai Liu, Xuerong Mao
Nagoya Math. J. 161: 155-170 (2001).

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.

Citation

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Tomás Caraballo. Kai Liu. Xuerong Mao. "On stabilization of partial differential equations by noise." Nagoya Math. J. 161 155 - 170, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 0986.60058
MathSciNet: MR1820216

Subjects:
Primary: 60H15
Secondary: 35B10, 35K15, 35K20, 35R60

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.161 • 2001
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