Stability of backward-in-time semilinear coupled parabolic systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910436343939072 |
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| author | Chorfi, S. E. Yamamoto, M. |
| author_facet | Chorfi, S. E. Yamamoto, M. |
| contents | We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly coupled parabolic equations involving general semilinearities. The proof of the stability estimates relies on a modified method by Carleman estimates incorporating the simple weight function $e^{λt}$ with a sufficiently large parameter $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03653 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of backward-in-time semilinear coupled parabolic systems Chorfi, S. E. Yamamoto, M. Analysis of PDEs 35R25, 35K58, 47J06 We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly coupled parabolic equations involving general semilinearities. The proof of the stability estimates relies on a modified method by Carleman estimates incorporating the simple weight function $e^{λt}$ with a sufficiently large parameter $λ$. |
| title | Stability of backward-in-time semilinear coupled parabolic systems |
| topic | Analysis of PDEs 35R25, 35K58, 47J06 |
| url | https://arxiv.org/abs/2405.03653 |