On Scattering for Critical NLS on Waveguide Manifolds: A Short Survey

In this survey, we present a brief summary of established results concerning the topic of large data global well-posedness and scattering for nonlinear Schrödinger equations (NLS) on waveguide manifolds \(\mathbb {R}^{m}\times \mathbb {T}^{n}\) . We also highlight the main techniques, methodologies, and approaches commonly used in this area of research.