Moderate Deviations for Stochastic Reaction-Diffusion Equations with Multiplicative Noise

[1]  Mohammud Foondun,et al.  Large Deviations for a Class of Semilinear Stochastic Partial Differential Equations , 2016, 1711.04658.

[2]  Tusheng Zhang,et al.  Large deviation principles for 2-D stochastic Navier–Stokes equations driven by Lévy processes , 2009 .

[3]  J. Zabczyk,et al.  Stochastic Equations in Infinite Dimensions , 2008 .

[4]  Michael Röckner,et al.  Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles , 2007 .

[5]  Sri Sritharan,et al.  Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise , 2006 .

[6]  Liming Wu,et al.  Large deviations for stochastic generalized porous media equations , 2005, 2207.00544.

[7]  Mark Freidlin,et al.  Random perturbations of dynamical systems and diffusion processes with conservation laws , 2004 .

[8]  Erika Hausenblas,et al.  A Note on Maximal Inequality for Stochastic Convolutions , 2001 .

[9]  C. Cardon-Weber.  Large deviations for a Burgers'-type SPDE , 1999 .

[10]  Amir Dembo,et al.  Large Deviations Techniques and Applications , 1998 .

[11]  A. Millet,et al.  Uniform large deviations for parabolic SPDEs and applications , 1997 .

[12]  Szymon Peszat,et al.  Large deviation principle for stochastic evolution equations , 1994 .

[13]  G. Kerkyacharian,et al.  Large deviations and the Strassen theorem in Hölder norm , 1992 .

[14]  M. Freidlin.  Random perturbations of reaction-difiusion equations: the quasi de-terministic approximation , 1988 .

[15]  Stig Larsson,et al.  Introduction to stochastic partial differential equations , 2008 .

[16]  M. Röckner.  LARGE DEVIATIONS FOR STOCHASTIC REACTION–DIFFUSION SYSTEMS WITH MULTIPLICATIVE NOISE AND NON-LIPSCHITZ REACTION TERM1 BY SANDRA CERRAI , 2004 .

[17]  A. Guillin.  AVERAGING PRINCIPLE OF SDE WITH SMALL DIFFUSION: MODERATE DEVIATIONS , 2003 .

[18]  Wu Liming,et al.  Moderate Deviations of Dependent Random Variables Related to CLT , 1995 .

[19]  V. Bally,et al.  Approximation and Support Theorem in Holder Norm for Parabolic Stochastic Partial Differential Equations , 1995 .

[20]  Richard B. Sowers,et al.  Large Deviations for a Reaction-Diffusion Equation with Non-Gaussian Perturbations , 1992 .

[21]  A. Acosta.  Moderate deviations and associated Laplace approximations for sums of independent random vectors , 1992 .

[22]  M. Ledoux.  Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi , 1992 .

[23]  Akira Ichikawa,et al.  Some inequalities for martingales and stochastic convolutions , 1986 .

[24]  M. Freidlin,et al.  Random Perturbations of Dynamical Systems , 1984 .

[25]  A. Garsia.  Continuity properties of Gaussian processes with multidimensional time parameter , 1972 .

[26]  H. L. Le Roy,et al.  Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability; Vol. IV , 1969 .