Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911845773737984 |
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| author | Araújo, Bruno S. V. Demarque, Reginaldo Faria, Josiane C. O. Viana, Luiz |
| author_facet | Araújo, Bruno S. V. Demarque, Reginaldo Faria, Josiane C. O. Viana, Luiz |
| contents | This work is concerned with the obtainment of new Carleman estimates for linear parabolic equations, where the second-order differential operator brings a super strong degeneracy in a positive measure subset of the spatial domain. In order to prove our main result, the control domain is supposed to contain the set of degeneracies. As a well-known consequence, we achieve a null controllability result in the current context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure Araújo, Bruno S. V. Demarque, Reginaldo Faria, Josiane C. O. Viana, Luiz Analysis of PDEs 35K65, 93B05, 93C05, 93B07 This work is concerned with the obtainment of new Carleman estimates for linear parabolic equations, where the second-order differential operator brings a super strong degeneracy in a positive measure subset of the spatial domain. In order to prove our main result, the control domain is supposed to contain the set of degeneracies. As a well-known consequence, we achieve a null controllability result in the current context. |
| title | Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure |
| topic | Analysis of PDEs 35K65, 93B05, 93C05, 93B07 |
| url | https://arxiv.org/abs/2404.12537 |