【系综合学术报告】2023年第46期 || （一）Optimal Solvability of Exterior Dirichlet Problems for Monge-Ampère Equations & （二） Radiation fields for semilinear Dirac equations with spinor null forms
发布日期：2023/11/10
【系综合学术报告】
（一）
报告题目：Optimal Solvability of Exterior Dirichlet Problems for Monge-Ampère Equations
报告人：保继光（教授） 北京师范大学
时间：11月11日下午 2:30-3:30
地点：理科楼A112
报告摘要：The talk provides two necessary and sufffcient conditions for the existence of solutions to the exterior Dirichlet problem of the Monge–Ampère equation with prescribed asymptotic behavior at inffnity.We remove the C2 regularity assumptions on the boundary value and the inner boundary, which are required in the proofs of the corresponding existence theorems in the recent literatures.
报告题目：Radiation fields for semilinear Dirac equations with spinor null forms
报告人：李冏玥（教授） 中山大学
时间：11月11日下午 4:00-5:00
地点：理科楼A112
报告摘要：We will talk about the scattering theory of half spin waves by the means of the radiation fields. We first define the radiation fields for semilinear Dirac equations with spinor null forms. Then we prove a nonlinear isomorphism between the weighted energy space of initial data and the weighted energy space of radiation fields. The proof is based on a careful study of the linear Dirac radiation fields combined with a functional framework. In the last, we also present a rigidity result. This is a joint with JIN JIA.
邀请人：何凌冰
