2 papers
math.AP2024
The nonlinear Schrödinger equation on the half-space
A. Alexandrou Himonas, Fangchi Yan
This work studies the initial-boundary value problem for both the linear Schrödinger equation and the cubic nonlinear Schrödinger equation on the half-space in higher dimensions ($…
math.AP2023
Global solutions of quasi-linear Hamiltonian mKdV equation
Fangchi Yan, Qingtian Zhang
We study the initial value problem of quasi-linear Hamiltonian mKdV equations. Our goal is to prove the global-in-time existence of a solution given sufficiently smooth, localized,…