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Exit from a Neighborhood of Zero for Weakly Damped Stochastic Nonlinear Schrödinger Equations

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  • Eric Gautier

    (Crest)

Abstract

Exit from a neighborhood of zero for weakly damped stochasticnonlinear SchrÄodinger equations is studied. The small noise is either complexand of additive type or real and of multiplicative type. It is white in time andcolored in space. The neighborhood is either in L2 or in H1. The small noiseasymptotic of both the ¯rst exit times and the exit points are characterized.

Suggested Citation

  • 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.
    • Handle: RePEc:crs:wpaper:2005-21
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    File URL: http://crest.science/RePEc/wpstorage/2005-21.pdf
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    References listed on IDEAS

    as
    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.
    2. Arnaud Debussche & Eric Gautier, 2005. "Small Noise Asymptotic of the Timing Jitter in Soliton Transmission," Working Papers 2005-20, Center for Research in Economics and Statistics.
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    Cited by:

    1. Arnaud Debussche & Eric Gautier, 2005. "Small Noise Asymptotic of the Timing Jitter in Soliton Transmission," Working Papers 2005-20, Center for Research in Economics and Statistics.

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