调和分析和偏微分方程研讨班：An Inverse Problem for Nonlinear Time-dependent Schrodinger Equations with Partial Data

中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人：周婷 （浙江大学）

题  目：An Inverse Problem for Nonlinear Time-dependent Schrodinger Equations with Partial Data

时  间：2023.11.17（星期五）10:00-11:00

地  点：思源楼S813

摘  要：In this talk, I will present some recent results on solving inverse boundary value problems for nonlinear PDEs, especially for a time-dependent Schrodinger equation with time-dependent potentials with partial boundary Dirichlet-to-Neumann map. After a higher order linearization step, the problem will be reduced to implementing special geometrical optics (GO) solutions to prove the uniqueness and stability of the reconstruction. This is a joint work with my PhD student Xuezhu Lu and Prof. Ru-Yu Lai.