报告题目：A scattering result for nonlinear dispersive equations posed on product spaces
报告人：Lysianne Hari（法国贝桑松大学副教授）
报告时间：2020年11月30日16时00分-17时00分
腾讯会议号：528 244 357
邀请人：程星
报告摘要：
In this talk, we will deal with the scattering phenomenon for some nonlinear PDEs posed on a product space (or flat waveguides) of type $R^d \times \mathcal{M}^k$, the latter being a compact riemannian manifold. On one hand, this kind of results is well-known on $\R^d$: since one can have a good control of the nonlinear solution under some conditions on the equation, one can find an asymptotic linear state for large times. On the other hand, similar results on compact riemannian manifolds are not known to be true. A natural question is: what happens in mixed settings ? Is it possible to obtain scattering when one only has some of the space variables in $R^d$ ?
This problem was first studied for the Schrödinger equation (NLS), but we will mostly deal with the Klein-Gordon equation (NLKG). We will see the natural conditions to have scattering in the product spaces case, and will give some ideas of proofs.
This talk is based on joint works with N. Visciglia (Pisa) and L. Forcella (Edinburgh).
报告人简介：
Lysianne Hari，法国贝桑松大学副教授，主要从事偏微分方程的研究。曾主持欧洲和法国的多项科学基金。共发表10多篇学术论文，特别地，在Comm. Partial Differential Equations, Commun. Contemp. Math.等国际著名数学杂志发表重要研究工作，她的工作受到国内外同行的广泛关注。