Improved global well-posedness for the cubic NLS on two-dimensional waveguide $\R\times\T$

Qionglei Chen, Yilin Song, Kailong Yang +2

In this article, we show that the solution to defocusing cubic nonlinear Schrödinger equation (NLS) posed on the two-dimensional waveguide \begin{align*} i\partial_tu+Δ_{\R\times…