学术报告（骆泳铭 2026.1.12）

摘要： We consider the small data scattering in critical space of the NLS on waveguide manifold. Our work is mainly inspired by a recent paper of Kwak and Kwon, where the well-posedness of the periodic NLS in full mass-supercritical regime of any spatial dimension is settled. In the waveguide setting, we encounter the major challenge that the classical Strichartz estimates initiate by Hani and Pausader are no longer available in high-dimensional waveguides. We overcome such difficulty by developing an anisotropic generalization of the framework by Kwak and Kwon, where we also take certain novel interpolation techniques within Besov spaces into account. By doing so, we settle the small data scattering problem for the NLS on waveguide manifold in the full mass-supercritical regime of any spatial dimension.