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Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on [formula omitted].

Authors :
Fan, Chenjie
Xu, Weijun
Source :
Journal of Differential Equations. Dec2019, Vol. 268 Issue 1, p160-185. 26p.
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
268
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
139057692
Full Text :
https://doi.org/10.1016/j.jde.2019.08.017