2 papers
math.AP2025
Regularization for the Schrödinger equation with rough potential: high-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the regularization mechanisms of the Schrödinger equation with a spatial potential where denotes a given spatial…
math.AP2025
Regularization for the Schrödinger equation with rough potential: one-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the following Schrödinger equation with a spatial potential \begin{align*} i\partial_t u+\partial_x^2 u+ηu=0, \end{align*} where is a given spat…