Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R

We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension d=1, whose solution was constructed in [8] with one particular such approximation. The key ingredient in the proof is a uniform bound of...

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Bibliográfalaš dieđut
Váldodahkkit: Fan, C, Xu, W
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: Elsevier 2019
Govvádus
Čoahkkáigeassu:We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension d=1, whose solution was constructed in [8] with one particular such approximation. The key ingredient in the proof is a uniform bound of the solutions to the family of deterministic mass-subcritical defocusing NLS.