中国科大学位与研究生教育
课程名称: 教师:
当前位置:
 >> 
 >> 
Laplacian operator with Hardy potential and applications to PDEs
Laplacian operator with Hardy potential and applications to PDEs
教师介绍

本讲教师:郑继强
所属学科:理科
人  气:149

课程介绍
Abstract:In this talk, we first talk about the Sobolev space theory and harmonic analysis tools for the Laplacian opeartor associated with Hardy potential. And then we consider the energy-critical nonlinear wave equation in the presence of an Hardy potential. In the defocusing case, we prove that arbitrary initial data in the energy space lead to global solutions that scatter. In the focusing case, we prove scattering below the ground state threshold. This part is jointed with Changxing Miao and Jason Murphy. Finally, we study the low regularity problem for 3d cubic wave equation with the Hardy potential. This part is jointed with Changxing Miao and Junyong Zhang.

评论

针对该课程没有任何评论,谈谈您对该课程的看法吧?
  • 用户名: 密 码:
致谢:本课件的制作和发布均为公益目的,免费提供给公众学习和研究。对于本课件制作传播过程中可能涉及的作品或作品部分内容的著作权人以及相关权利人谨致谢意!
课件总访问人次:19803670
中国科学技术大学研究生网络课堂试运行版,版权属于中国科学技术大学研究生院。
本网站所有内容属于中国科学技术大学,未经允许不得下载传播。
地址:安徽省合肥市金寨路96号;邮编:230026。TEL:+86-551-63602929;E-mail:wlkt@ustc.edu.cn。