动力系统研讨班：Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations

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：Son Thai Tu (Michigan State University)  

题  目：Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations

时  间：2023.04.19（星期三）09:00-11:00

地  点：腾讯会议：118-107-637

https://meeting.tencent.com/dm/HTmDd6DXH1HU

摘  要：We investigate the convergence rate in the vanishing viscosity process of the solutions to the subquadratic state-constraint Hamilton-Jacobi equations. We give two different proofs of the fact that, for nonnegative Lipschitz data that vanish on the boundary, the rate of convergence  in the interior.  Our approach relies on deep understanding of the blow-up behavior near the boundary and semiconcavity of the solutions. This is joint-work with Yuxi Han.