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.