2 papers
math.AP2026
Local and global well-posedness for the nonlinear Schrödinger equation with nonhomogeneous boundary conditions
Engui Fan, Yuan Li, Xinhan Liu
In this paper, we study the initial-boundary value problem for the nonlinear Schrödinger equation in \begin{equation*} i\partial_{t}u+Îu+λ|u|^pu=0, \qquad (…
math.AP2025
Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities
Yuan Li, Qiaoyuan Cheng, Engui Fan
We establish the global existence of solutions to the Fokas-Lenells equation for any initial data in a weighted Sobolev space .This resul…