星光直播 星光直播 报告[2026]023号

(高水平大学建设系列报告1282号)

报告题目：Critical scattering for the NLS on waveguide manifold

报告人：骆泳铭 副教授 （北理莫斯科大学）

报告时间：2026年4月2日10:00-11:00

报告地点：汇文楼办公区1420

报告内容：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 initiated 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.

报告人简历：骆泳铭目前是深圳北理莫斯科大学计算数学与控制系副教授，主要研究方向是散射方程的长时间渐近行为，在JFA、Math.Ann.、J.Geom.Anal等星光直播 期刊发表多篇研究论文。

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星光直播

2026年3月31日