Uniform large deviation principles for Banach space valued stochastic differential equations
作者： Paul Dupuis , Amarjit Budhiraja , Michael Salins
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摘要: … a large deviation principle (LDP) for a general class of Banach space valued stochastic differential equations (… A key step in the proof is showing that a uniform large deviation principle …
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Roger Temam, Navier-Stokes Equations and Nonlinear Functional Analysis ,(1987)
Paul Dupuis, Michelle Bou�, A variational representation for certain functionals of Brownian motion Annals of Probability. ,vol. 26, pp. 1641- 1659 ,(1998) , 10.1214/AOP/1022855876
Caroline Cardon-Weber, Large deviations for a Burgers’-type SPDE Stochastic Processes and their Applications. ,vol. 84, pp. 53- 70 ,(1999) , 10.1016/S0304-4149(99)00047-2
Wei Liu, Wei Liu, Large Deviations for Stochastic Evolution Equations with Small Multiplicative Noise Applied Mathematics and Optimization. ,vol. 61, pp. 27- 56 ,(2010) , 10.1007/S00245-009-9072-2
Fabien Chenal, Annie Millet, Uniform large deviations for parabolic SPDEs and applications Stochastic Processes and their Applications. ,vol. 72, pp. 161- 186 ,(1997) , 10.1016/S0304-4149(97)00091-4
Igor Chueshov, Annie Millet, Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations Applied Mathematics and Optimization. ,vol. 61, pp. 379- 420 ,(2010) , 10.1007/S00245-009-9091-Z
Michael R�ckner, Sandra Cerrai, Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipshitz reaction term Annals of Probability. ,vol. 32, pp. 1100- 1139 ,(2004) , 10.1214/AOP/1079021473
W G Faris, G Jona-Lasinio, Large fluctuations for a nonlinear heat equation with noise Journal of Physics A. ,vol. 15, pp. 3025- 3055 ,(1982) , 10.1088/0305-4470/15/10/011
John B. Conway, A Course in Functional Analysis ,(1985)
Z. Brzeźniak, S. Cerrai, M. Freidlin, Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise Probability Theory and Related Fields. ,vol. 162, pp. 739- 793 ,(2015) , 10.1007/S00440-014-0584-6