A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations

Comptes Rendus Mathematique

Volumn 338, Issue 12, 2004, Pages 945-949

  Röckner, Michael ^a   Sobol, Zeev ^b  

^a BIELEFELD UNIVERSITY   (Germany)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2642541537     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.03.024     Document Type: Article

References (11)

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4. G. Da Prato, A. Debusche, Ergodicity for the 3D stochastic Navier-Stokes equations, Prépublication 03-01, Institut de Recherche Mathématique de Rennes, 2003
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7. p-analysis of finite and infinite dimensional diffusion operators, in: Da Prato G. (Ed.), Stochastic PDE's and Kolmogorov's Equations in Infinite Dimensions Lecture Notes in Math. vol. 1715 1999 65-116 Springer Berlin
8. M. Röckner, Z. Sobol, A new analytic approach to the Kolmogorov equations of the stochastic 2D-Navier-Stokes equations, Preprint, 2003
9. M. Röckner, Z. Sobol, Kolmogorov equations in infinite dimensions: well-posedness, regularity of solutions, and applications to stochastic generalized Burgers equations, BiBoS-Preprint 03-10-129, 2003, 49 p
10. 1: existence, uniqueness and associated Markov processes Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28 4 1999 99-140
11. Stroock D.W. Varadhan S.R.S. Multidimensional Diffusion Processes 1979 Springer