Inverse Function Theorem in Fréchet Spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866917738706894848 |
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| author | Ivanov, Milen Zlateva, Nadia |
| author_facet | Ivanov, Milen Zlateva, Nadia |
| contents | We consider the classical Inverse Function Theorem of Nash and Moser from the angle of some recent development by Ekeland and the authors.
Geometrisation of tame estimates coupled with certain ideas coming from Variational Analysis when applied to a directionally differentiable function, produce very general surjectivity result and, if injectivity can be ensured, Inverse Function Theorem with the expected Lipschitz-like continuity of the inverse.
We also present a brief application to differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_12605 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Inverse Function Theorem in Fréchet Spaces Ivanov, Milen Zlateva, Nadia Functional Analysis 49J53, 47H04, 54H25 We consider the classical Inverse Function Theorem of Nash and Moser from the angle of some recent development by Ekeland and the authors. Geometrisation of tame estimates coupled with certain ideas coming from Variational Analysis when applied to a directionally differentiable function, produce very general surjectivity result and, if injectivity can be ensured, Inverse Function Theorem with the expected Lipschitz-like continuity of the inverse. We also present a brief application to differential equations. |
| title | Inverse Function Theorem in Fréchet Spaces |
| topic | Functional Analysis 49J53, 47H04, 54H25 |
| url | https://arxiv.org/abs/2005.12605 |