|
|||||
|
|
Error Estimates for the Approximation of the Effective Hamiltonian |
|
| Authors: | Fabio Camilli Italo Capuzzo Dolcetta Diogo A. Gomes |
| Affiliation: | (1) Dip. di Matematica Pura e Applicata, Univ. dell’Aquila, Loc. Monteluco di Roio, 67040 l’Aquila, Italy;(2) Dip. di Matematica, Univ. di Roma “La Sapienza”, P.le Aldo Moro 2, 00185 Roma, Italy;(3) Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
| Abstract: | We study approximation schemes for the cell problem arising in homogenization of Hamilton-Jacobi equations. We prove several error estimates concerning the rate of convergence of the approximation scheme to the effective Hamiltonian, both in the optimal control setting and as well as in the calculus of variations setting. D.G. was partially supported by the Center for Mathematical Analysis, Geometry and Dynamical Systems through FCT Program POCTI/FEDER and by grant POCI/FEDER/MAT/55745/2004. |
| Keywords: | Homogenization Effective Hamiltonian Error estimates |
| 本文献已被 SpringerLink 等数据库收录！ | |