A note on the frequency gaps between integers in the thin obstacle problem
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912160265797632 |
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| author | Franceschini, Federico Savin, Ovidiu |
| author_facet | Franceschini, Federico Savin, Ovidiu |
| contents | We give a simple proof of the fact that - in all dimensions - there are no homogeneous solutions to the thin obstacle problem with frequency $λ$ belonging to intervals of the form $(2k,2k+1)$, $k \in \mathbb{N}$. In particular, there are no frequencies in the interval $(2,3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13425 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the frequency gaps between integers in the thin obstacle problem Franceschini, Federico Savin, Ovidiu Analysis of PDEs We give a simple proof of the fact that - in all dimensions - there are no homogeneous solutions to the thin obstacle problem with frequency $λ$ belonging to intervals of the form $(2k,2k+1)$, $k \in \mathbb{N}$. In particular, there are no frequencies in the interval $(2,3)$. |
| title | A note on the frequency gaps between integers in the thin obstacle problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.13425 |