偏微分方程研讨班：Convergence of an inverse iterative scheme for the Hessian eigenvalue

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Prof. Nam Quang Le (Indiana University)   

题  目：Convergence of an inverse iterative scheme for the Hessian eigenvalue

时  间：2022.09.08（星期四）上午09:00-10:00

地  点：Zoom Meeting: 563 133 4105, Code: AMSS

摘  要：In this talk, we will first introduce  a non- degenerate inverse iterative scheme to solve the eigenvalue problem for the k-Hessian operator on a smooth, bounded domain in Euclidean spaces. We show that the scheme converges, with a rate, to the k-Hessian eigenvalue for all k. We also prove a local L^1 convergence of the Hessian of solutions of the scheme. Hyperbolic polynomials play an important role in our analysis.