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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/2407.19504 |
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| _version_ | 1866908666099138560 |
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| author | Amato, Vincenzo Barbato, Luca |
| author_facet | Amato, Vincenzo Barbato, Luca |
| contents | In this paper, we study a quantitative refinement of a classical symmetrisation result for first-order Hamilton-Jacobi equations. We prove that the deficit in the comparison result, established by Giarrusso and Nunziante, controls both the asymmetry of the domain and the deviation of the solution and data from radial symmetry. This yields a stability version of the Giarrusso-Nunziante inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19504 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative comparison results for first-order Hamilton-Jacobi equations Amato, Vincenzo Barbato, Luca Analysis of PDEs 35F21, 35B35, 35B51 In this paper, we study a quantitative refinement of a classical symmetrisation result for first-order Hamilton-Jacobi equations. We prove that the deficit in the comparison result, established by Giarrusso and Nunziante, controls both the asymmetry of the domain and the deviation of the solution and data from radial symmetry. This yields a stability version of the Giarrusso-Nunziante inequality. |
| title | Quantitative comparison results for first-order Hamilton-Jacobi equations |
| topic | Analysis of PDEs 35F21, 35B35, 35B51 |
| url | https://arxiv.org/abs/2407.19504 |