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学术报告20180412

发布时间: 2018-04-09 浏览次数: 0

学术报告

20180412

 

  :  Strichartz estimates and dynamics for solitons of NLS

  间:2018412(星期四)上午10:00

报告人:尧小华  教授、博导(华中师范大学)

  点:先骕楼澳门新葡亰平台游戏学术报告厅4-3344

 

摘要:This talk will firstly address the Strichartz estimates of Schrodinger equations and matrix charge transfer model. Then we further investigate the scattering problem of nonlinear Schrodinger equation in R^3. We focus on the asymptotic dynamics of narrow soliton hitting a smooth positive potential with compact support of size 1, and prove that the soliton scatters away with asymptotically constant speed and a free wave going to infinity. Our results crucially depend on the endpoint Strichartz estimates of matrix charge transfer model. This is a joint work with Q. Deng and A. Soffer.

 

 

报告人概况: 尧小华,华中师范大学教授、博士生导师,入选教育部新世纪优秀人才计划。主要研究方向为调和分析与偏微分算子。研究兴趣主要集中在调和分析与偏微分方程的交叉领域。在Comm. Math Physics, Journal Founctional Analysis,  Comm. PDE, Indiana Univ. Math. J.,  DCDS-A, JDE, IMRN, Bull. London Math Soc, Potential Analysis, JMAA等国际著名期刊上发表论文近30篇。主持过国家自然科学基金面上项目,教育部重点项目,国家自然科学基金青年项目和天元基金共7项。曾经访问过美国的Johns Hopking University, 普林斯顿高级研究所,澳大利亚的Macquarie大学。

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