中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人： Prof. Ting Zhou （浙江大学）

题  目：Inverse Problems for Nonlinear PDEs

时  间：2021.11.17（星期三），16:00-17:00

地  点：腾讯会议：891 155 238

摘  要：In this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs modeling nonlinear electromagnetic optics including nonlinear time-harmonic Maxwell’s equations with Kerr-type and second harmonic generation nonlinearity. The problem will be reduced to solving for the coefficient functions from their integrals against multiple linear solutions. We will focus our discussion on different choices of linear solutions. A similar problem for nonlinear magnetic Schrodinger equation will be considered as a comparison.