no. 4
On the density for the solution of a Burgers-type SPDE
Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 4, pp. 459-482. 
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     author = {Morien, Pierre-Luc},
     title = {On the density for the solution of a {Burgers-type} {SPDE}},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {459--482},
     publisher = {Gauthier-Villars},
     volume = {35},
     number = {4},
     year = {1999},
     mrnumber = {1702238},
     zbl = {0935.60046},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1999__35_4_459_0/}
}
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Morien, Pierre-Luc. On the density for the solution of a Burgers-type SPDE. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 4, pp. 459-482. http://archive.numdam.org/item/AIHPB_1999__35_4_459_0/

[1] V. Bally, I. Gyöngy and E. Pardoux, White-noise driven parabolic SPDEs with measurable drift, J. Funct. Anal. 120 (2) (1994) 484-510. | MR | Zbl

[2] V. Bally, A. Millet and M. Sanz-SOLÉ, Approximation and support theorem in Hölder norm for parabolic SPDE's, Ann. Probab. 23 (1) (1995) 178-222. | MR | Zbl

[3] V. Bally and E. Pardoux, Malliavin calculus for white-noise driven parabolic SPDEs, Potential Analysis, to appear. | MR | Zbl

[4] N. Bouleau and F. Hirsch, Dirichlet Forms and Analysis on the Wiener Space, De Gruyter Studies in Math., Vol. 14, Walter de Gruyter, 1991. | MR | Zbl

[5] J.M. Burgers, The Nonlinear Diffusion Equation, Reidel, Dordrecht, 1974. | Zbl

[6] G. Da Prato, A. Debussche and R. Temam, Stochastics Burgers equation, Preprint No. 27, Scuola Normale de Pisa (1995). | MR

[7] G. Da Prato and D. Gatarek, Stochastics Burgers equation, Stochastics and Stochastics Rep. 52 (1995) 29-41. | MR | Zbl

[8] I. Gyongy, On the stochastic Burgers equation, Stochastic Process. Appl. 73 (1998) 271-299.

[9] E. Hopf, The partial differential equation ut + uux = μuxx, Comm. Pure Appl. Math. 3 (1950) 201-230. | MR | Zbl

[10] N. Lanjri Zaidi and D. Nualart, Burgers equation driven by space-time white noise: absolute continuity of the solution, Preprint (1997).

[11] M. Metivier, Semimartingales, de Gruyter, 1982. | MR | Zbl

[12] P.L. Morien, Hölder and Besov regularity for the density of the solution of a white-noise driven parabolic SPDE (1995), in: Bernoulli: The Official Journal of the Bernoulli Society, to appear. | MR | Zbl

[13] P.L. Morien, Approximation of the density of the solution of a nonlinear SDE. Application to parabolic SPDE's, Stochastic Process. Appl. 69 (1997) 195-216. | MR | Zbl

[14] D. Nualart, Malliavin Calculus and Related Fields, Springer, 1995. | MR | Zbl

[15] E. Pardoux and Z. Tusheng, Absolute continuity of the law of the solution of a parabolic SPDE, J. Funct. Anal. 112 (1993) 447-458. | MR | Zbl

[16] J.B. Walsh, An introduction to stochastic partial differential equations, in: Ecole d'Été de Probabilités de Saint-Flour 14, Lecture Notes in Math., Vol. 1180, Springer, 1986, pp. 265-439. | MR | Zbl