The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909079368105984 |
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| author | Schiavone, Luca |
| author_facet | Schiavone, Luca |
| contents | We carry on the approach used in [Sch] to provide a solution for the inverse problem of the calculus of variations for Maxwell equations in vacuum and we provide an abstract theory including all implicit differential equations that can be formulated in terms of vector fields over pre-symplectic manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem Schiavone, Luca Analysis of PDEs Mathematical Physics Differential Geometry 53Dxx, 53Zxx, 49Sxx We carry on the approach used in [Sch] to provide a solution for the inverse problem of the calculus of variations for Maxwell equations in vacuum and we provide an abstract theory including all implicit differential equations that can be formulated in terms of vector fields over pre-symplectic manifolds. |
| title | The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem |
| topic | Analysis of PDEs Mathematical Physics Differential Geometry 53Dxx, 53Zxx, 49Sxx |
| url | https://arxiv.org/abs/2401.12096 |