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References
- Azencott R., Grandes d'eviations et applications, Ecole d''Et'e de Probabilit'es de Saint Flour VIII-1978, Lectures Notes in Math. 774 (1980) 1-176, Springer-Verlag, Berlin. MR:81m:58085
- Chenal F. Principes de grandes d'eviations pour des 'equations aux d'eriv'ees partielles stochastiques et applications, Th`ese de doctorat de l'Universit'e Paris 6, Paris.
- Chenal F. and Millet A. Uniform large deviations for parabolic SPDE's and applications, Stochastic Processes and their Applications 72 (1997) 161-186. MR:98m:60038
- Dalang R.C. Extending the martingale measure stochastic integral with applications to spatially homogeneous s.p.d.e's, Electronic Journal of Probability Vol.4 (1999) 1-29. http://www.math.washington.edu/~ejpecp/EjpVol4/paper6. MR:2000b:60132
- Dalang R.C. and Frangos N.E. The stochastic wave equation in two spatial dimensions, Annals of Probabability 26-1 (1998) 187-212. MR:99c:60127
- Dembo A. and Zeitouni O. Large deviations techniques and applications, (1983) Jones and Barlett Publishers, Boston.
- Deuschel J.D. and Stroock D.W. Large deviations, Pure and Applied Mathematics, vol 137, (1989) Academic Press, Boston. MR:90h:60026
- Eidelman S.D. and Ivasisen S.D. Investigation of the Green matrix for a homogeneous parabolic boundary value problem, Trans. Moscow Math. Soc. 23 (1970) 179-242. MR:51#3697
- Franzova N. Long time existence for the heat equation with a spatially correlated noise term, Stochastic analysis and Applications 17-2 (1999) 169-190. MR:99m:35278
- Freidlin M.I. and Wentzell A.D. Random perturbation of dynamical systems, (1984) Springer-Verlag, New York. MR:85a:60064
- Friedman, A. (1964) Partial differential equations of parabolic type, (1964) Prentice-Hall, New York. MR: 31#6062
- Karczewska A. and Zabczyk J. Stochastic PDE's with function-valued solutions, to appear in Clément Ph., den Hollander F., van Neerven J., and de Pagter B. (Eds.), "Infinite-Dimensional Stochastic Analysis", Proceedings of the Colloquium of the Royal Netherlands Academy of Arts and Sciences, (1999) Amsterdam. MR:2002h:60132
- Márquez-Carreras D., Mellouk M. and Sarrá M. On stochastic partial differential equations with spatially correlated noise: smoothness of the law, Stochastic Processes and their Applications 93 (2001) 269-284. MR: 2002e:60089
- Márquez-Carreras D. and Sanz-Solé M.} Smal perturbations in a hyperbolic stochastic partial differential equation, Stochastic Processes and their Applications 68 (1997) 133-154. MR:98d:60124
- Millet A. and Morien P.L. On a stochastic wave equation in two space dimension regularity of the solution and its density, Prépublications de Mathématiques de l'Université de Paris 10 98/5.
- Millet A. and Sanz-Solé M. A stochastic wave equation in two space dimension: Smoothness of the law, Annals of Probability 27-2 (1999) 803-844. MR:2001e:60130
- Peszat S. and Zabczyk J. Stochastic evolution equations with a spatially homogeneous Wiener process, Stochastic Processes and their Applications 72 (1997) 187-204. MR:99k:60166
- Peszat S. and Zabczyk J. Nonlinear stochastic wave and heat equations, Preprint of Institut of Mathematics. Polish Academy of Sciences 584 (1998).
- Priouret P. Remarques sur les petits perturbations de syst&ecute;mes dynamiques, Séminaire de Probabilités XVI, Lecture Notes in Math. 920 (1982) 184-200, Springer, Berlin. MR:84g:58096
- Sanz-Solé M. and Sarrá M. Path properties of a class of Gaussian processes with applications to spde's, Canadian Mathematical Society, Conference Proceedings 28 (2000) 303-316. MR:2001m:60148
- Sanz-Solé M. and Sarrá M. H"older continuity for the stochastic heat equation with spatially correlated noise, Progress in Probability 52 (2002) 259-268. MR:1 958 822
- Sowers R.B. Large deviations for a reaction-diffusion equation with non-Gaussian perturbations, Annals of Probability 20 (1992) 504-537. MR:93e:60125
- Walsh J.B. An introduction to stochastic partial differential equations, École d'Été de Prob. de St-Flour XIV-1984, Lect. Notes in Math. 1180, (1986) Springer-Verlag. MR:88a:60114
- Watanabe S. Stochastic differential equation and Malliavin Calculus, Tata Institue, (1984) Springer-Verlag. MR:86b:60113

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