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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.02024 |
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| _version_ | 1866913185351598080 |
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| author | Lions, Pierre-Louis Souganidis, Panagiotis E. |
| author_facet | Lions, Pierre-Louis Souganidis, Panagiotis E. |
| contents | We prove the convergence of a viscous approximation to an one dimensional local mean field type planning problem with singular initial and terminal measures. Then we use this result to give a rigorous proof to a Freidlin-Ventchel-type Large Deviations Principle for the height of the $1+1$ KPZ equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A convergence result for a local planning problem for mean field games and rigorous proof of a Freidlin-Ventchel-type Large Deviations Principle for the $1+1$ KPZ equation Lions, Pierre-Louis Souganidis, Panagiotis E. Analysis of PDEs Mathematical Physics We prove the convergence of a viscous approximation to an one dimensional local mean field type planning problem with singular initial and terminal measures. Then we use this result to give a rigorous proof to a Freidlin-Ventchel-type Large Deviations Principle for the height of the $1+1$ KPZ equation. |
| title | A convergence result for a local planning problem for mean field games and rigorous proof of a Freidlin-Ventchel-type Large Deviations Principle for the $1+1$ KPZ equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2401.02024 |