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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Príomhchruthaitheoirí: Fan, C, Xu, W
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Elsevier 2019
Cur síos
Achoimre: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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