Chenmin Sun

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math.AP2026

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3 d$ ball

Nicolas Burq, Nicolas Camps, Chenmin Sun +1

We construct probabilistic strong solutions to the cubic SchrÃ¶dinger equation on the three-dimensional ball with radial initial data, which is a significant improvement of a resul…

math.AP2026

On the pointwise convergence of NLS flow on $A^§^{2}$

Fanfei Meng, Yilin Song, Chenmin Sun +2

In this paper, we study the almost everywhere convergence of the cubic nonlinear SchrÃ¶dinger flow to the initial data on $S^{2}$ , \begin{equation*} iu_t + Î_g u = |u|^2u, \…

math.AP2025

Geometric condition for the observability of electromagnetic SchrÃ¶dinger operators on $T^{2}$

In this article we revisit the observability of the SchrÃ¶dinger equation on the two-dimensional torus. In contrast to the SchrÃ¶dinger operator with a purely electric potential, f…

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the 3d ball

On the pointwise convergence of NLS flow on A^§2

Geometric condition for the observability of electromagnetic SchrÃ¶dinger operators on T2

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3 d$ ball

On the pointwise convergence of NLS flow on $A^§^{2}$

Geometric condition for the observability of electromagnetic SchrÃ¶dinger operators on $T^{2}$