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

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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Bibliografiska uppgifter
Huvudupphovsmän: Fan, C, Xu, W
Materialtyp: Journal article
Språk:English
Publicerad: Elsevier 2019
Beskrivning
Sammanfattning: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.

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