学术报告

题      目：Radiation fields for semilinear Dirac equations with spinor null forms

报  告  人：李冏玥  副教授  (邀请人：罗天文 )

                                    中山大学

时      间：5月17日  10：30-11：30

地     点：数学科学学院西楼114

报告人简介:

        李冏玥，中山大学数学学院副教授，2017年博士毕业于中国科学院数学与系统科学研究院，2017-2019年在清华大学从事博士后研究工作。目前从事偏微分方程与数学广义相对论领域的研究，主要工作发表在J. Differential Geom., Calc. Var. PDEs, International Mathematics Research Notices,  J. Differential Equations等国际数学期刊，主持及参与多项国家自然科学基金。

摘      要：

        In this talk, we will talk about some recent results on Dirac equations. Based on the global solution we establish a scattering theory for half spin waves via radiation fields. We first define the radiation fields for spin waves in the Minkowski spacetime.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 detailed analysis 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.

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