Large time behavior of solutions of Hamilton–Jacobi equations with periodic boundary data |
| |
| Authors: | Hiroyoshi Mitake |
| |
| Affiliation: | aDepartment of Pure and Applied Mathematics, Waseda University, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan |
| |
| Abstract: | We study the large time behavior of viscosity solutions of Hamilton–Jacobi equations with periodic boundary data on bounded domains. We establish a result on convergence of viscosity solutions to state constraint asymptotic solutions or periodic asymptotic solutions depending on the sign of critical value as time goes to infinity. |
| |
| Keywords: | Large-time behavior Hamilton– Jacobi equations Cauchy– Dirichlet problem Periodic solution Aubry set |
| 本文献已被 ScienceDirect 等数据库收录！ |
