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Large deviations for a Burgers'-type SPDE

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  • Cardon-Weber, Caroline

Abstract

We prove a large deviation principle for a class of semilinear stochastic partial differential equations driven by the space-time white noise. This class of equation contains as special cases Burgers equation and the parabolic SPDEs perturbed by the space-time white noise.

Suggested Citation

  • Cardon-Weber, Caroline, 1999. "Large deviations for a Burgers'-type SPDE," Stochastic Processes and their Applications, Elsevier, vol. 84(1), pages 53-70, November.
    • Handle: RePEc:eee:spapps:v:84:y:1999:i:1:p:53-70
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    References listed on IDEAS

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    1. Chenal, Fabien & Millet, Annie, 1997. "Uniform large deviations for parabolic SPDEs and applications," Stochastic Processes and their Applications, Elsevier, vol. 72(2), pages 161-186, December.
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    Cited by:

    1. Pappalettera, Umberto, 2022. "Large deviations for stochastic equations in Hilbert spaces with non-Lipschitz drift," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 1-20.
    2. Gautier, Eric, 2005. "Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise," Stochastic Processes and their Applications, Elsevier, vol. 115(12), pages 1904-1927, December.
    3. Röckner, Michael & Wang, Feng-Yu & Wu, Liming, 2006. "Large deviations for stochastic generalized porous media equations," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1677-1689, December.
    4. Leila Setayeshgar, 2023. "Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet," Partial Differential Equations and Applications, Springer, vol. 4(1), pages 1-12, February.
    5. Foondun, Mohammud & Setayeshgar, Leila, 2017. "Large deviations for a class of semilinear stochastic partial differential equations," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 143-151.
    6. Salins, M., 2021. "Systems of small-noise stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform over all initial data," Stochastic Processes and their Applications, Elsevier, vol. 142(C), pages 159-194.
    7. Gyöngy, István & Rovira, Carles, 2000. "On Lp-solutions of semilinear stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 83-108, November.
    8. Deugoué, G. & Tachim Medjo, T., 2023. "Large deviation for a 3D globally modified Cahn–Hilliard–Navier–Stokes model under random influences," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 33-71.

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