Wick product and stochastic partial differential equations with Poisson measure
Annales mathématiques Blaise Pascal, Tome 4 (1997) no. 2, pp. 11-25.

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     title = {Wick product and stochastic partial differential equations with {Poisson} measure},
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     number = {2},
     year = {1997},
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     language = {en},
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Dermoune, A. Wick product and stochastic partial differential equations with Poisson measure. Annales mathématiques Blaise Pascal, Tome 4 (1997) no. 2, pp. 11-25. http://geodesic.mathdoc.fr/item/AMBP_1997__4_2_11_0/

R. Buckdahn, D. Nualart, Linear stochastic differential equations and Wick products, Probab.Theory Relat.Fields 99, Num 4, (1994) 501-526. | Zbl | MR

E. Carlen, E. Pardoux, Differential calculus and integration by parts on Poisson space, Math.appl, 59, (Kluwer Acad.Publ.Dordrecht, 1990) Stochastics, Algebra and analysis in classical and quantum dynamics (Marseille, 1988) pp. 63-73. | Zbl | MR

A. Dermoune, Non-commutative Burgers equation, to appear in Hokkaido Mathematical Journal (1995). | Zbl | MR

A. Dermoune, P. Krée, L. Wu, Calcul stochastique non adapté par rapport à la mesure aléatoire de Poisson, in : J. Azéma, P.A. Meyer and M. Yor, Séminaire de Probabilités XXII, Lect.Notes in Math.1321 (Springer-Verlag, Berlin, Heidelberg, New York, 1988) pp.477-484. | Zbl | MR | mathdoc-id

H. Holden, T. Lindstrom, B. Oksendal, J. Uboe, T.S. Zhang, The Burgers equation with a noisy force and the stochastic heat equation. Comm. PDE. 19 (1994) 119-141. | Zbl | MR

P. Krée, Théorie des distributions en dimension quelconque et intégrales stochastiques. Stochastic analysis and related topics (Silivri, 1986), Lect.Notes in Math.1316 (Springer, Berlin, New-York, 1988) pp.170-233. | Zbl | MR

D. Nualart, E. Pardoux, Stochastic calculus with anticipating integrands. Probab. Theory Relat.Fields 78 (1988) 80-129. | Zbl | MR

D. Nualart, J. Vives, Anticipative calculus for the Poisson process based on the Fock space in: J. Azéma, P.A.Meyer and M. Yor, Séminaire de Probabilités XXIV, Lect.Notes in Math.1426 (Springer-Verlag, Berlin, Heidelberg, New York, 1990) pp.154-165. | Zbl | MR | mathdoc-id

D. Nualart, M. Zakai, Generalized Brownian functionals and the solution to a stochastic partial differential equation. J.Functional Analysis 84 (1989) 279-296. | Zbl | MR

D. Surgailis, On multiple Poisson stochastic integrals and associated Markov Semi-groups. Probability and Math-Stat, vol.3, Fasc.2 (1984) 217-239. | Zbl | MR

G.B. Whitham, Linear and nonlinear waves (Wiley, New York, Chichester, Brisbane, Toronto, Singapore, 1974). | Zbl | MR