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PDE Real Analysis Seminar
Seminar information archive ～04/22｜Next seminar｜Future seminars 04/23～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|
2020/10/27
10:30-11:30 Room # Zoomによるオンライン開催 (Graduate School of Math. Sci. Bldg.)
Son Tu (University of Wisconsin Madison)
Vanishing discount problems for Hamilton-Jacobi equations on changing domains (English)
Son Tu (University of Wisconsin Madison)
Vanishing discount problems for Hamilton-Jacobi equations on changing domains (English)
[ Abstract ]
We study the asymptotic behavior, as the discount factor vanishes, of the Hamilton-Jacobi equation with state-constraint on changing domains. Surprisingly, we can obtain both convergence results and non-convergence results in this convex setting. Moreover, we provide a very first result on the asymptotic expansion of the additive eigenvalue of the Hamiltonian with respect to the changing domains. The main tool we use is a duality representation of solution with viscosity Mather measures.
We study the asymptotic behavior, as the discount factor vanishes, of the Hamilton-Jacobi equation with state-constraint on changing domains. Surprisingly, we can obtain both convergence results and non-convergence results in this convex setting. Moreover, we provide a very first result on the asymptotic expansion of the additive eigenvalue of the Hamiltonian with respect to the changing domains. The main tool we use is a duality representation of solution with viscosity Mather measures.
