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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2511.10795 |
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| _version_ | 1866914157766377472 |
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| author | Límaco, Juan Yapu, Luis P. |
| author_facet | Límaco, Juan Yapu, Luis P. |
| contents | We prove that a free boundary semilinear heat equation with Stefan boundary condition and radially symmetric data is locally null controllable. The strategy involves reducing the problem to the corresponding one-dimensional formulation and adapting a Carleman inequality in that setting. The local null controllability of the free-boundary problem is then established via the Schauder fixed-point theorem. To the best of our knowledge, this is the first controllability result for this problem with Stefan boundary condition in more than one spatial dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10795 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local controllability of free boundary three-dimensional semilinear radial parabolic equations Límaco, Juan Yapu, Luis P. Analysis of PDEs We prove that a free boundary semilinear heat equation with Stefan boundary condition and radially symmetric data is locally null controllable. The strategy involves reducing the problem to the corresponding one-dimensional formulation and adapting a Carleman inequality in that setting. The local null controllability of the free-boundary problem is then established via the Schauder fixed-point theorem. To the best of our knowledge, this is the first controllability result for this problem with Stefan boundary condition in more than one spatial dimension. |
| title | Local controllability of free boundary three-dimensional semilinear radial parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.10795 |