Critical scattering for the NLS on waveguide manifold

讲座题目：Critical scattering for the NLS on waveguide manifold
讲座时间 Datetime:2025年12月11日， 周四， 14：00-17：00
地点 Venue: 海琴2号数学学院（珠海）455室
主持人 Host：裴龙 副教授
报告人 Speaker:  骆泳铭 教授

单位 Affiliation: 深圳北理莫斯科大学
报告摘要 Abstract:
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.
报告人简介：
骆泳铭，深圳北理莫斯科大学教授，2019年博士毕业于德国卡塞尔大学，2020年至2023年于德国德累斯顿工业大学从事博士后工作，并于2023年3月加入深圳北理莫斯科大学计算数学与控制系。主要研究领域为调和分析与非线性色散方程等数学分析领域问题，在JMPA、JFA、Math.Ann.、J.Geom.Anal等国际重要学术期刊发表多篇研究论文。