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math.AP2025
Almost sure global nonlinear smoothing for the 2D NLS
Chenmin Sun, Nikolay Tzvetkov
In this article, we prove an almost-sure global in time nonlinear smoothing effect for NLS on the two-dimensional torus. For deterministic data, this phenomenon was proved for the…
math.AP2025
Hyperbolic nonlinear Schrödinger equations on
Engin Başakoğlu, Chenmin Sun, Nikolay Tzvetkov +1
In this paper, we consider the hyperbolic nonlinear Schrödinger equations (HNLS) on . We obtain the sharp local well-posedness up to the critical regula…