Chenmin Sun

collaborators

3 papers

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 Schrödinger equation on the three-dimensional ball with radial initial data, which is a significant improvement of a result…

math.AP2026

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

Fanfei Meng, Yilin Song, Chenmin Sun +2

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

math.FA2026

An optimal time-singularity of the estimate for the heat semigroup related to the critical Sobolev embedding

Yi C. Huang, Tohru Ozawa, Chenmin Sun +1

We give a certain $L^{\infty} (R^{2})$ -estimate for the heat semigroup ${e^{t Δ}}_{t \geq 0}$ that is closely related to the fact $H^1(\mathbb{R}^2) \not\subset L^{\infty}(\m…

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 §2

An optimal time-singularity of the estimate for the heat semigroup related to the critical Sobolev embedding

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 $§^{2}$