@article{AIHPB_2000__36_2_181_0, author = {Al\`os, E. and Nualart, D. and Viens, F.}, title = {Stochastic heat equation with white-noise drift}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {181--218}, publisher = {Gauthier-Villars}, volume = {36}, number = {2}, year = {2000}, mrnumber = {1751658}, zbl = {0970.60068}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2000__36_2_181_0/} }
TY - JOUR AU - Alòs, E. AU - Nualart, D. AU - Viens, F. TI - Stochastic heat equation with white-noise drift JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 181 EP - 218 VL - 36 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_2000__36_2_181_0/ LA - en ID - AIHPB_2000__36_2_181_0 ER -
%0 Journal Article %A Alòs, E. %A Nualart, D. %A Viens, F. %T Stochastic heat equation with white-noise drift %J Annales de l'I.H.P. Probabilités et statistiques %D 2000 %P 181-218 %V 36 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_2000__36_2_181_0/ %G en %F AIHPB_2000__36_2_181_0
Alòs, E.; Nualart, D.; Viens, F. Stochastic heat equation with white-noise drift. Annales de l'I.H.P. Probabilités et statistiques, Tome 36 (2000) no. 2, pp. 181-218. http://archive.numdam.org/item/AIHPB_2000__36_2_181_0/
[1] Stochastic heat equation with random coefficients, Probab. Theory Related Fields 115 (1999) 41-94. | MR | Zbl
, , ,[2] An extension of Itô's formula for anticipating processes, J. Theoretical Probab. 11 (1998) 493-514. | MR | Zbl
, ,[3] Stochastic Equations in Infinite Dimensions, Cambridge University Press, 1992. | MR | Zbl
, ,[4] Partial Differential Equations of Parabolic Type, Prentice-Hall, 1964. | MR | Zbl
,[5] Continuity of some anticipating integral processes, Statist. Probab. Lett. 37 (1998) 203-211. | MR | Zbl
, ,[6] Random positive semigroups and their random infinitesimal generators, in: Davies I.M., Truman A., Elworthy K.D. (Eds.), Stochastic Analysis and Applications, World Scientific, 1996, pp. 270-285. | MR | Zbl
, ,[7] Stochastic Flows and Stochastic Differential Equations, Cambridge University Press, 1990. | MR | Zbl
,[8] Generalized solutions of a stochastic partial differential equation, J. Theoretical Probab. 7 (1994) 279-308. | MR | Zbl
,[9] Stochastic evolution equations with random generators, Ann. Probab. 26 (1998) 149-186. | MR | Zbl
, ,[10] Stochastic calculus of variations and hypoelliptic operators, in: Proc. Inter. Symp. on Stoch. Diff. Eq., Kyoto, 1976, Wiley, 1978, pp. 195-263. | Zbl
,[11] The Malliavin Calculus and Related Topics, Springer-Verlag, 1995. | MR | Zbl
,[12] Stochastic calculus with anticipating integrands, Probab. Theory Related Fields 78 (1988) 535-581. | MR | Zbl
, ,[13] Evolution equation of a stochastic semigroup with white-noise drift, Ann. Probab., to appear. | MR | Zbl
, ,[14] Two-sided stochastic integrals and calculus, Probab. Theory Related Fields 76 (1987) 15-50. | MR | Zbl
, ,[15] On a generalization of a stochastic integral, Theory Probab. Appl. 20 (1975) 219-233. | MR | Zbl
,[16] An introduction to stochastic partial differential equations, in: Lecture Notes in Mathematics, Vol. 1180, Springer, Berlin, 1984, pp. 264-437. | MR | Zbl
,[17] Some moment inequalities for stochastic integrals and for solutions of stochastic differential equations, Israel J. Math. 5 (1967) 170-176. | MR | Zbl
,