5 papers
Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the 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…
On the pointwise convergence of NLS flow on
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 , \begin{equation*} iu_t + Δ_g u = |u|^2u, \qu…
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 -estimate for the heat semigroup that is closely related to the fact $H^1(\mathbb{R}^2) \not\subset L^{\infty}(\m…
Geometric condition for the observability of electromagnetic Schrödinger operators on
Kévin Le Balc'h, Jingrui Niu, Chenmin Sun
In this article we revisit the observability of the Schrödinger equation on the two-dimensional torus. In contrast to the Schrödinger operator with a purely electric potential, for…
Quantitative observability for one-dimensional Schrödinger equations with potentials
Pei Su, Chenmin Sun, Xu Yuan
In this note, we prove the quantitative observability with an explicit control cost for the 1D Schrödinger equation over with real-valued, bounded continuous potentia…