Recovery of Schrödinger nonlinearities from the scattering map
数学专题报告
报告题目(Title)：Recovery of Schrodinger nonlinearities from the scattering map
报告人(Speaker)：Jason Murphy (University of Oregon)
地点(Place)：北京师范大学后主楼1223
时间(Time)：10:00 - 11:00, August 24 (周六), 2024
邀请人(Inviter)：徐桂香
报告摘要
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.
主讲人简介
2014年，Jason Murphy教授博士毕业于UCLA大学，师从Rowan Killip教授、Monica Vsian教授。2014-2017年在UC Berkeley做博士后，期间获得NSF Postdoctoral Fellow，合作导师Daniel Tataru教授; 2017-2023在Missouri University of Science and Technology工作，目前在University of Oregon工作。Jason Murphy教授在随机KdV方程整体适定性、低正则薛定谔方程整体适定性与散射理论及导数薛定谔方程孤子解渐近稳定性等领域作出过杰出工作，系列科研成果发表在数学顶刊Invent. Math.等学术期刊。
