学术报告
Son Thai Tu:Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Son Thai Tu ,Michigan State University

Inviter: 张建路
Title:
Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations
Language: Chinese
Time & Venue:
2023.04.19 09:00-10:00 腾讯会议:118-107-637
Abstract:

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

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.