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Uniform large deviations for parabolic SPDEs and applications

Author

Listed:
  • Chenal, Fabien
  • Millet, Annie

Abstract

Let denote the set of functions f(t,x) which are [alpha]-Hölder continuous in t and 2[alpha]-Hölder continuous in x. For 0

Suggested Citation

  • 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.
    • Handle: RePEc:eee:spapps:v:72:y:1997:i:2:p:161-186
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    Citations

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    Cited by:

    1. Swie[combining cedilla]ch, Andrzej, 2009. "A PDE approach to large deviations in Hilbert spaces," Stochastic Processes and their Applications, Elsevier, vol. 119(4), pages 1081-1123, April.
    2. Eric Gautier, 2005. "Exit from a Neighborhood of Zero for Weakly Damped Stochastic Nonlinear Schrödinger Equations," Working Papers 2005-21, Center for Research in Economics and Statistics.
    3. 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.
    4. Arturo Kohatsu & D. Márquez Carreras & M. Sanz Solé, 1999. "Asymptotic behaviour of the density in a parabolic SPDE," Economics Working Papers 371, Department of Economics and Business, Universitat Pompeu Fabra.
    5. 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.
    6. Duan, Jinqiao & Millet, Annie, 2009. "Large deviations for the Boussinesq equations under random influences," Stochastic Processes and their Applications, Elsevier, vol. 119(6), pages 2052-2081, June.
    7. A. Kohatsu-Higa & D. Márquez-Carreras & M. Sanz-Solé, 2001. "Asymptotic Behavior of the Density in a Parabolic SPDE," Journal of Theoretical Probability, Springer, vol. 14(2), pages 427-462, April.
    8. Cardon-Weber, Caroline, 1999. "Large deviations for a Burgers'-type SPDE," Stochastic Processes and their Applications, Elsevier, vol. 84(1), pages 53-70, November.
    9. 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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