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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Bibliografske podrobnosti
Main Authors: Fan, C, Xu, W
Format: Journal article
Jezik:English
Izdano: Elsevier 2019
Opis
Izvleček: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.