Large deviations and support results for nonlinear Schrödinger equations with additive noise and applications

DOI10.1051/ps:2005005zbMath1136.60346arXivmath/0406362OpenAlexW3101498639MaRDI QIDQ4671822

Eric Gautier

Publication date: 26 April 2005

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406362

zbMATH Keywords

solitary wavesstochastic partial differential equationsblow-upsupport theoremprojective limitwhite noisenonlinear Schrödinger equationsLarge deviations

Mathematics Subject Classification ID

Large deviations (60F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

Blow-up for the stochastic nonlinear Schrödinger equations with quadratic potential and additive noise ⋮ Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise ⋮ A Primer on Noise-Induced Transitions in Applied Dynamical Systems ⋮ Exit from a basin of attraction for stochastic weakly damped nonlinear Schrödinger equations ⋮ Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases ⋮ 1D quintic nonlinear Schrödinger equation with white noise dispersion ⋮ Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions ⋮ Small noise asymptotic of the timing jitter in soliton transmission ⋮ Large deviations for nonlinear stochastic Schrödinger equation ⋮ Uniform large deviations for the nonlinear Schrödinger equation with multiplicative noise

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• Stochastic Equations in Infinite Dimensions
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