报告题目：An inverse scattering theorem for (1+1)-dimensional semi-linear wave equations with null conditions

报告简介：In this talk, we are interested in the inverse scattering problem for semi-linear wave equations in one dimension. Assuming null conditions, we first revisit a classical result that small data lead to global existence of solutions to (1+1)-dimensional semi-linear wave equations. This result allows us to construct the scattering fields and their corresponding weighted Sobolev spaces at the infinities. Finally, we prove that the scattering operator not only describes the scattering behavior of the solution but also uniquely determines the solution. The underlying physical intuition of this conclusion is that (1+1)-dimensional semi-linear waves behave exactly in the same manner as their scattering fields detected by the far-away observers.

报告人：李梦妮，东南大学，主要研究方向为偏微分方程与几何分析。

报告时间：2022年6月17日（星期五）下午 14:00—16:00.

报告地点： 腾讯会议，ID:200 697 348

主办单位：扬州大学数学科学学院

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