报告人：杨敏波副教授

单位：浙江师范大学

报告时间：2017年5月26日（周五）下午 3：00

报告地点：非线性科学研究中心报告厅

摘要: We consider the following Choquard equation: \begin{equation}\label{ME}\begin{array}{l}\displaystyle -\Delta u+V(x)u=(|x|^{-1}\ast|u|^p)|u|^{p-2}u, \ \ \hbox{in}\ \  \mathbb{R}\times\mathbb{R}^N,\end{array}\end{equation}where $V(x)$ is a real valued function and $*$ stands for the convolution, $p$ lies in some suitable range. This equation has been used to model a lot of physical phenomena. For instance, it can be considered as a classical limit of the field equations describing a quantum mechanical non-relativistic system with many bosons.  In this talk, I will introduce some results for the critical Choquard equation in the sense of Hardy-Littlewood-Sobolev inequality.

欢迎各位师生的参加！