On the global well-posedness of the quadratic NLS on $L^2(\mathbb{R})+H^1(\mathbb{T})$

Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1

We study the one dimensional nonlinear Schrödinger equation with power nonlinearity $|u{|}^{\alpha -1}u$ for $\alpha \in [1,5]$ and initial data $u_0\in L^2(\mathbb{R})+H^1(\mathbb{T})$. We…