Carleman estimates for third order operators of KdV and non KdV-type and applications
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910401225031680 |
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| author | Federico, Serena |
| author_facet | Federico, Serena |
| contents | In this paper we study a class of variable coefficient third order partial differential operators on $\mathbb{R}^{n+1}$, containing, as a subclass, some variable coefficient operators of KdV-type in any space dimension. For such a class, as well as for the adjoint class, we obtain a Carleman estimate and the local solvability at any point of $\mathbb{R}^{n+1}$. A discussion of possible applications in the context of dispersive equations is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carleman estimates for third order operators of KdV and non KdV-type and applications Federico, Serena Analysis of PDEs In this paper we study a class of variable coefficient third order partial differential operators on $\mathbb{R}^{n+1}$, containing, as a subclass, some variable coefficient operators of KdV-type in any space dimension. For such a class, as well as for the adjoint class, we obtain a Carleman estimate and the local solvability at any point of $\mathbb{R}^{n+1}$. A discussion of possible applications in the context of dispersive equations is provided. |
| title | Carleman estimates for third order operators of KdV and non KdV-type and applications |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.01777 |