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张建路副研究员 : Selection principle of generalized Hamilton-Jacobi equations

Speaker: 张建路 副研究员    

Inviter: 中国科学院数学院学术报告会组委

Title: Selection principle of generalized Hamilton-Jacobi equations

Language: Chinese

Time & Venue: 2024.09.06 10:40-11:20 数学院南楼N204（数学院交流报告会）

Abstract: In 1987, Lions firstly proposed the homogenization for Hamilton-Jacobi equations, which revealed the significance of effective Hamiltonian in controlling the large time behavior of solutions. He also pointed out a vanishing discount procedure which is equivalent in obtaining the effective Hamiltonian, yet the convergence of solutions in this procedure was unknown until recently. In a bunch of joint works, we verified this convergence by using dynamical techniques.
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