Global solution to the wave and Klein-Gordon system under null condition in dimension two

：Dr. Dong Shijie
：2020-11-04 15:00
：数理大楼6楼天元会议室 (线下)

Speaker：Dr. Dong Shijie

        Fudan University

Title: Global solution to the wave and Klein-Gordon system under null condition in dimension two

Time 4th, Nov., 2020, 15:00

Location： 数理大楼6楼天元会议室(线下) 

Abstract:

We are interested in studying the coupled wave and Klein-Gordon equations with null quadratic nonlinearities in $R^{2+1}$. We aim to establish the small data global existence result, and in addition, we also illustrate the sharp pointwise asymptotic behaviour of the solution to the coupled system. The initial data are not required to have compact support, and this is achieved by applying the Alinhac's ghost weight method to both the wave and the Klein-Gordon equations.

Speaker Introduction：

董世杰，2014年本科毕业于中国海洋大学，2017年硕士毕业于韩国延世大学，2019年博士毕业于法国索邦大学LJLL实验室。主要研究方向为非线性双曲偏微分方程、广义相对论。论文发表于 J. Diff. Equa .ESAIM Math. Model. Numer. Anal.等数学杂志。

 

联系人：闫卫平