Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918152254783488 |
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| author | Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. |
| author_facet | Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. |
| contents | In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [19] and the local controllability of the semilinear system is obtained using Liusterniks inverse function theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00173 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. Analysis of PDEs In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [19] and the local controllability of the semilinear system is obtained using Liusterniks inverse function theorem. |
| title | Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.00173 |