Controllability of a system of non-autonomous degenerate coupled parabolic equations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915460976476160 |
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| author | Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. |
| author_facet | Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. |
| contents | We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Controllability of a system of non-autonomous degenerate coupled parabolic equations Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. Analysis of PDEs We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients. |
| title | Controllability of a system of non-autonomous degenerate coupled parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.17546 |