@article{AIHPB_1999__35_4_459_0, 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://www.numdam.org/item/AIHPB_1999__35_4_459_0/} }
TY - JOUR AU - Morien, Pierre-Luc TI - On the density for the solution of a Burgers-type SPDE JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1999 SP - 459 EP - 482 VL - 35 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1999__35_4_459_0/ LA - en ID - AIHPB_1999__35_4_459_0 ER -
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://www.numdam.org/item/AIHPB_1999__35_4_459_0/
[1] White-noise driven parabolic SPDEs with measurable drift, J. Funct. Anal. 120 (2) (1994) 484-510. | MR | Zbl
, and ,[2] SOLÉ, Approximation and support theorem in Hölder norm for parabolic SPDE's, Ann. Probab. 23 (1) (1995) 178-222. | MR | Zbl
, and -[3] Malliavin calculus for white-noise driven parabolic SPDEs, Potential Analysis, to appear. | MR | Zbl
and ,[4] Dirichlet Forms and Analysis on the Wiener Space, De Gruyter Studies in Math., Vol. 14, Walter de Gruyter, 1991. | MR | Zbl
and ,[5] The Nonlinear Diffusion Equation, Reidel, Dordrecht, 1974. | Zbl
,[6] Stochastics Burgers equation, Preprint No. 27, Scuola Normale de Pisa (1995). | MR
, and ,[7] Stochastics Burgers equation, Stochastics and Stochastics Rep. 52 (1995) 29-41. | MR | Zbl
and ,[8] On the stochastic Burgers equation, Stochastic Process. Appl. 73 (1998) 271-299.
,[9] The partial differential equation ut + uux = μuxx, Comm. Pure Appl. Math. 3 (1950) 201-230. | MR | Zbl
,[10] Burgers equation driven by space-time white noise: absolute continuity of the solution, Preprint (1997).
and ,[11] Semimartingales, de Gruyter, 1982. | MR | Zbl
,[12] 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] 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] Malliavin Calculus and Related Fields, Springer, 1995. | MR | Zbl
,[15] Absolute continuity of the law of the solution of a parabolic SPDE, J. Funct. Anal. 112 (1993) 447-458. | MR | Zbl
and ,[16] 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
,