Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908369671946240 |
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| author | Mitake, Hiroyoshi Ni, Panrui |
| author_facet | Mitake, Hiroyoshi Ni, Panrui |
| contents | Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sqrt{\varepsilon})$ which is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems Mitake, Hiroyoshi Ni, Panrui Analysis of PDEs Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sqrt{\varepsilon})$ which is sharp. |
| title | Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.06428 |