Malliavin calculus for infinite-dimensional systems with additive noise

[1]  A. Agrachev,et al.  On finite-dimensional projections of distributions for solutions of randomly forced PDE's , 2006, math/0603295.

[2]  David Nualart Rodón,et al.  The Malliavin Calculus and Related Topics , 2006 .

[3]  Fabrice Baudoin,et al.  Hypoellipticity in infinite dimensions and an application in interest rate theory , 2005, math/0508452.

[4]  Jonathan C. Mattingly,et al.  Malliavin calculus for the stochastic 2D Navier—Stokes equation , 2004, math/0407215.

[5]  Jonathan C. Mattingly,et al.  Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing , 2004, math/0406087.

[6]  M. Romito.  Ergodicity of the Finite Dimensional Approximation of the 3D Navier–Stokes Equations Forced by a Degenerate Noise , 2002, math/0210082.

[7]  G. Sell,et al.  Dynamics of Evolutionary Equations , 2002 .

[8]  Andrew J. Majda,et al.  Vorticity and Incompressible Flow: Index , 2001 .

[9]  Jonathan C. Mattingly,et al.  Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation , 2001 .

[10]  J. Eckmann,et al.  Uniqueness of the Invariant Measure¶for a Stochastic PDE Driven by Degenerate Noise , 2000, nlin/0009028.

[11]  S. Cerrai.  Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces , 1999 .

[12]  R. Bass.  Diffusions and Elliptic Operators , 1997 .

[13]  J. Zabczyk,et al.  Ergodicity for Infinite Dimensional Systems: Invariant measures for stochastic evolution equations , 1996 .

[14]  D. Nualart.  The Malliavin Calculus and Related Topics , 1995 .

[15]  Franco Flandoli,et al.  Dissipativity and invariant measures for stochastic Navier-Stokes equations , 1994 .

[16]  Hantaek Bae.  Navier-Stokes equations , 1992 .

[17]  R. Léandre,et al.  Decroissance exponentielle du noyau de la chaleur sur la diagonale (I) , 1991 .

[18]  D. Ocone.  Stochastic calculus of variations for stochastic partial differential equations , 1988 .

[19]  W. Kliemann.  Recurrence and invariant measures for degenerate diffusions , 1987 .

[20]  Denis R. Bell.  The Malliavin Calculus , 1987 .

[21]  J. Norris.  Simplified Malliavin calculus , 1986 .

[22]  D. Stroock,et al.  Applications of the Malliavin calculus. II , 1985 .

[23]  R. Dautray,et al.  Analyse mathématique et calcul numérique pour les sciences et les techniques , 1984 .

[24]  D. Williams,et al.  PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON STOCHASTIC DIFFERENTIAL EQUATIONS , 1980 .

[25]  P. Malliavin.  Stochastic calculus of variation and hypoelliptic operators , 1978 .

[26]  R. Temam.  Navier-Stokes Equations , 1977 .

[27]  Paul Malliavin,et al.  Stochastic Analysis , 1997, Nature.