学术报告
Asymptotic Analysis of Gradient Systems 韩青 (Notre Dame University)
报告人:韩青 教授(Notre Dame University)
时间:3月7日,周四,上午10:00-12:00
地点:教二楼913
题目: Asymptotic Analysis of Gradient Systems
摘要: In the lecture, we study asymptotic behaviors of global and bounded solutions of gradient differential systems and discuss how to derive the long-time convergence of solutions by “gradient inequalities”. The idea that gradient inequalities force convergence of solutions of gradient systems was known to Lojasiewicz, who derived his celebrated gradient inequality for analytic gradient maps on finite-dimensional spaces. Simon proved infinite-dimensional gradient inequalities for analytic gradient maps associated with variational problems. The techniques developed by Lojasiewicz and Simon have been improved and applied to many problems.
联系人:张振雷