Global wellposedness of NLS in $H^1(\mathbb{R})+H^s(\mathbb{T})$

Friedrich Klaus, Peer Kunstmann

We show global wellposedness for the defocusing cubic nonlinear Schrödinger equation (NLS) in $H^1(\mathbb{R})+H^{3/2+}(\mathbb{T})$, and for the defocusing NLS with polynomial n…