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References

  1. V. Bogachev. Gaussian measures. Mathematical Surveys and Monograph 62, American Mathematical Society, Providence, RI, 1998. Math. Review 2000a:60004
  2. S. Bonaccorsi and M. Fuhrman. Regularity results for infinite dimensional diffusions. A Malliavin calculus approach. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 10 (1999), 35-45. Math. Review 2001g:60139
  3. Z. Brzezniak and S. Peszat. Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process. Studia Mathematica 137 (1999), 435-451. Math. Review 2000m:60004
  4. S. Cerrai. Second order PDE's in finite and infinite dimension, A probabilistic approach. Lecture Notes in Mathematics 1762 Springer-Verlag, Berlin, 2001. Math. Review 2002j:35327
  5. M. G. Crandall, M. G. Ishii and P.-L. Lions. User's guide to viscosity solutions of second order partial differential equations. Bul. Amer. Math. Soc. 27 (1992), 1-67. Math. Review 92j:35050
  6. M. G. Crandall and P.-L Lions. Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Trends in the theory and practice f nonlinear analysis (Arlington, Tex.,1984), 115--119 North-Holland Math. Stud., 110 North-Holland, Amsterdam, (1985). Math. Review number not available. For the entire collection Math. Review 87a:00035
  7. M. G. Crandall and P.-L Lions. Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. C. R. Acad. Sci. Paris Ser. I Math. 300 (1985), 67-70. Math. Review 86a:49054
  8. G. Da Prato and J. Zabczyk. Stochastic equations in infinite dimensions. Encyclopedia of Mathematics and its Applications 44 (1992), Cambridge University Press. Math. Review 95g:60073
  9. G. Da Prato and J. Zabczyk. Ergodicity for infinite-dimensional systems. London Mathematical Society Note Series 229 Cambridge University Press, Cambridge, (1996) Math. Review 97k:60165
  10. G. Da Prato and J. Zabczyk. Second order partial differential equations in Hilbert spaces. London Mathematical Society Note Series 293 Cambridge University Press, Cambridge, (2002). Math. Review 2004e:47058"
  11. M. Fuhrman and G. Tessitore. Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control. Ann. Probab. 30 (2002), 1397-1465. Math. Review 2003d:60131"
  12. D. Gatarek and B. Goldys. On invariant measures for diffusions on Banach spaces. Potential Anal. 7 (1997), 539--553. Math. Review 98k:60102"
  13. I. V. Girsanov. On transforming of a class of stochastic processes by absolutely continuous change of measure, (in Russian). Teor. Verojatnost. i Primenen. 5 (1960), 314--330. Math. Review 0133152"
  14. F. Gozzi. Regularity of solutions of second order Hamilton-Jacobi equations in Hilbert spaces and applications to a control problem. Comm. Partial Differential Equations 20 (1995), 775--826. Math. Review 96e:49006"
  15. F. Gozzi, E. Rouy and A. Swiech. Second order Hamilton-Jacobi equations in Hilbert spaces and stochastic boundary control,} SIAM J. Control Optim. 38 (2000) no. 2, pp. 400-430 J. Theor. Prob. 4 (1991), 101--109. Math. Review 2000m:49033"
  16. F. Gozzi and A. Swiech. Hamilton-Jacobi-Bellman equations for the optimal control of the Duncan-Mortensen-Zakai equation. J. Funct. Anal. 172 (2000), 460--510. Math. Review 2001d:49051"
  17. P. L. Lions. Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimension I. The case of bounded stochastic evolutions. Acta Math. 161 (1988), 243--278. Math. Review 90j:35029"
  18. P. L. Lions. Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimension III. Uniqueness of viscosity solutions for general second-order equations. J. Funct. Anal. 86 (1989), 1--18. Math. Review 91b:35011"
  19. A. Lunardi. Analytic semigroups and optimal regularity in parabolic problems. . Progress in Nonlinear Differential Equations and their Applications 16 Birkhauser Verlag, Basel, (1995). Math. Review 96e:47039"
  20. F. Masiero. Semilinear Kolmogorov equations and applications to stochastic optimal control. Appl. Math. Optim. 51 (2005), 201--250. Math. Review 2005j:35104"
  21. F. Masiero. Stochastic optimal control problems and parabolic equations in Banach spaces. preprint, Quad. 632-P Dip. Mat. Politecnico di Milano. Math. Review number not available.
  22. K. R. Parthasarathy. Probability measures on metric spaces. Probability and Mathematical Statistics Academic Press, Inc., New York-London (1967). Math. Review 0226684"
  23. A. Pazy. Semigroups of linear operators and applications to partial differential equations. Lecture Notes in Math. 1017 Springer, Berlin, (1983). Math. Review 86b:47075"
  24. S. Peszat and J. Zabczyk. Strong Feller property and irreducibility for diffusions on Hilbert sapces. Ann. Probab./i> 23 (1995), 157--172. Math. Review 96f:60105"
  25. H. Triebel. Interpolation theory, function spaces, differential operators. , 18. 1978 North-Holland Mathematical Library. 18 North-Holland Publishing Co., Amsterdam-New York, (1978). Math. Review 80i:46032b
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