On the cauchy problem for stochastic stokes equations

SIAM Journal on Mathematical Analysis

Volumn 34, Issue 1, 2003, Pages 121-141

  Mikulevicius, R ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

Cauchy problem; Stochastic partial differential equations; Stokes equation

Indexed keywords

EID: 0037282289     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001390312     Document Type: Article

References (8)

1. p-theory of stochastic partial differential equations in the whole space, SIAM J. Math. Anal., 27 (1996), pp. 313-340.
2. N. V. KRYLOV, An analytic approach to SPDEs, in Stochastic Partial Differential Equations: Six Perspectives, Math. Surveys Monogr. 64, AMS, Providence, RI, 1999, pp. 185-242.
3. R. MIKULEVICIUS AND B. L. ROZOVSKII, On equations of stochastic fluid mechanics, in Stochastics in Finite and Infinite Dimensions: In Honor of Gopinath Kallianpur, T. Hida, R. Karandikar, H. Kunita, B. Rajput, S. Watanabe, and J. Xiong, eds., Birkhauser Boston, Cambridge, MA, 2001, pp. 285-302.
4. R. MIKULEVICIUS AND B. L. ROZOVSKII, Stochastic Navier-Stokes equations. Propagation of chaos and statistical moments, in J. L. Menaldi, E. Kofman, and A. Sulem, eds., Optimal Control and Partial Differential Equations: In Honour of Alain Bensoussan, IOS Press, Amsterdam, 2001, pp. 258-267.
5. H. TRIEBEL, Theory of Function Spaces, Birkhäuser-Verlag, Basel, 1983.
6. E. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ, 1970.
7. p-theory for systems of SPDEs, Electron. J. Probab., 6 (2001), paper 12, 35 pp.
8. d, Electron. J. Probab., 5 (2000), paper 6, 20 pp.