动力系统研讨班：Global semiconcavity of solutions to first-order Hamilton--Jacobi equations with state constraints

中科院数学与系统科学研究院

数学研究所

学术报告

动力系统研讨班

报告人：HAN Yuxi (University of Wisconsin， Madison）

题  目：Global semiconcavity of solutions to first-order Hamilton--Jacobi equations with state constraints

时  间：2023.08.09（星期三）10:00-11:00

地  点：数学院南楼N913

摘  要：Semiconcavity is a fundamental property in optimization that is essential for analyzing the behavior of solutions. In essence, it implies that the Hessian of the solution is bounded from above, even if the solution is not differentiable at every point. Local semiconcavity is a well-known property of solutions to first-order Hamilton-Jacobi equations with state constraints. This talk will focus on global semiconcavity of solutions up to the boundary of the domain and its relationship with the time taken for minimizing curves to reach the boundary.