A strong unique continuation property for weakly coupled elliptic systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917818806566912 |
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| author | Clapp, Mónica Hernández-Santamaría, Víctor Saldaña, Alberto |
| author_facet | Clapp, Mónica Hernández-Santamaría, Víctor Saldaña, Alberto |
| contents | We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence results for critical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A strong unique continuation property for weakly coupled elliptic systems Clapp, Mónica Hernández-Santamaría, Víctor Saldaña, Alberto Analysis of PDEs 35B60, 35A23, 35J47, 35B33, 35A01, 35B06, We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence results for critical systems. |
| title | A strong unique continuation property for weakly coupled elliptic systems |
| topic | Analysis of PDEs 35B60, 35A23, 35J47, 35B33, 35A01, 35B06, |
| url | https://arxiv.org/abs/2401.04041 |