Recovery of the nonlinearity from the modified scattering map

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:Jason C. Murphy(美国俄勒冈大学)
:2024-08-06 10:00
:海韵园实验楼106报告厅

报告人:Jason C. Murphy(美国俄勒冈大学

 间:20248610:00

 点:海韵园实验楼106报告厅

内容摘要:

We discuss the problem of recovering an unknown nonlinearity from the scattering (or modified scattering) behavior of solutions in the setting of nonlinear Schrödinger equations. In particular, for a general class of (gauge-invariant) nonlinearities, we can show that the scattering behavior of solutions uniquely determines the nonlinearity, with corresponding reconstruction formulas and stability estimates in certain cases. This talk will discuss some joint work with R. Killip, M. Visan, and G. Chen.

人简介

Jason C. Murphy,美国俄勒冈大学数学系助理教授。2014年在加州大学洛杉矶分校获得博士学位,之后分别在加州大学伯克利分校和密苏里科技大学工作。Jason C. Murphy的研究领域涉及非线性方程、调和分析和反问题等,目前共发表学术论文40多篇,其研究成果先后发表在Invent. Math., Anal. PDE, Ann. Inst. H. Poincaré C Anal. Non LinéaireSIAM J. Math. Anal.等国际著名数学期刊上。

 

联系人:杨东勇