Existence and regularity of a weak function-solution for some Landau equations with a stochastic approach

Stochastic Processes and their Applications

Volumn 101, Issue 2, 2002, Pages 303-325

  Guerin H ^a  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

Landau equation; Malliavin calculus; Nonlinear stochastic differential equation; White noise

Indexed keywords

EID: 0036789689     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(02)00107-2     Document Type: Article

References (8)

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5. Jacod, J., 1982. Equations différentielles stochastiques linéaires: la méthode de variation des constantes. Séminaire de Proba. XVI, Lecture Notes in Mathematics, Vol. 920. Springer, Berlin, pp. 442-448.
6. Nualart, D., 1995. The Malliavin Calculus and Related Topics. Springer, Berlin.
7. Villani, C., 1998. On the spatially homogeneous Landau equation for Maxwellian Molecules. Math. Modelling Methods Appl. Sci. 8, 957-983.
8. Walsh, J.B., 1984. An introduction to the stochastic partial differential equations. Ecole d'été de Proba. de Saint Flour XIV, Lecture Notes in Mathematics, Vol. 1180. Springer, Berlin, pp. 265-437.