Revisiting the Lavrentiev Phenomenon in One Dimension
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915956456947712 |
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| author | Wichrowski, Wiktor |
| author_facet | Wichrowski, Wiktor |
| contents | We clarify and extend insights from Lavrentiev's seminal paper. We examine the original theorem dealing with the absence of the Lavrentiev phenomenon, a cornerstone issue in the calculus of variations. We point out some inconsistencies in the original proof by providing a counterexample and supply the result with a new, concise, and complete reasoning. In the appendix, we also provide additional details to supplement the original proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16296 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisiting the Lavrentiev Phenomenon in One Dimension Wichrowski, Wiktor Classical Analysis and ODEs Analysis of PDEs 49-02 We clarify and extend insights from Lavrentiev's seminal paper. We examine the original theorem dealing with the absence of the Lavrentiev phenomenon, a cornerstone issue in the calculus of variations. We point out some inconsistencies in the original proof by providing a counterexample and supply the result with a new, concise, and complete reasoning. In the appendix, we also provide additional details to supplement the original proof. |
| title | Revisiting the Lavrentiev Phenomenon in One Dimension |
| topic | Classical Analysis and ODEs Analysis of PDEs 49-02 |
| url | https://arxiv.org/abs/2411.16296 |