On the approximate controllability of stochastic stokes systems

Stochastic Analysis and Applications

Volumn 17, Issue 4, 1999, Pages 563-577

  Fernández Cara, Enrique ^a   Martín, José D ^a   Real, José ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033244805     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362999908809620     Document Type: Article

References (15)

1. L. ARNOLD - Stochastic differential equations, Wiley, New York 1974.
2. V. BARBU, G. TESSITORE - Null controllability of stochastic heat equations with a multiplicative noise, to appear.
3. G. DAPRATO, J. ZABZYCZ - Stochastic Equations in Infinite Dimensions, Encyclopedia of Math. and Appl. 44, Cambridge University Press, 1992.
4. C. FABRE - Uniqueness result for the Stokes equations and their consequences in linear and nonlinear control problems, ESAIM: Control, Optimisation and Calculus of Variations, Vol. 1, (1996) 267-302.
5. C. FABRE, G. LEBEAU - Prolongement unique des solutions de l'équations de Stokes, Comm. P.D.E. 21, (1996) 573-596.
6. E. FERNÁNDEZ-CARA, J. REAL - Remarks on the controllability of some stochastic partial differential equations, Proceedings of the 7th International Conference on Control and Estimation of Distributed Parameter Systems, Vorau (Austria), 1996.
7. E. FERNÁNDEZ-CARA, M.J. GARRIDO, J. REAL - To appear.
8. R. GLOWINSKI, J.L. LIONS - Exact and approximate controllability for distributed parameter systems, Acta Numerica 1994, p. 269-378.
9. Y. HU, S. PENG - Adapted solution of a backward semilinear stochastic evolution equation, Stoch. Anal. Appl. 9 (4), 1991, p. 445-459.
10. J.L. LIONS, E. ZUAZUA - A generic uniqueness result for the Stokes system and its control theoretical consequences, in Partial Differential Equations and Applications, P. Marcellini, G. Talenti E. Visentini eds., Marcel-Dekker Inc. LNPAS# 177, 221-235, 1996.
11. R.S. LIPTSER, A.N. SHIRYAYEV - Statistic of Random Processes I. General Theory, Springer-Verlag, Berlin 1977.
12. E. PARDOUX - Thèse, Université Paris XI, Paris 1975.
13. E. PARDOUX - Stochastic Partial Differential Equations and Filtering of Diffusion Processes, Stochastics 3 (1979), 127-167.
14. E. PARDOUX, S.G. PENG - Adapted solution of backward stochastic differential equation, Systems and Control Letters 14 (1990), 55-61.
15. J. REAL - Some results on controllability for stochastic heat and Stokes equations, C. R. Acad. Sc. Paris 322, Série 1, p. 1198-1202, 1996.