Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910015325995008 |
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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 investigate the Hierarchical null controllability of a coupled degenerate semilinear parabolic equation in domains which are moving in time. We show the local null controllability of the semilinear system using Liusternik's inverse function theorem. Nevertheless, the main difficulty is to adapt a Carleman estimate for the controllability of the linearized otimality system, using a Carleman inequality for degenerate non-autonomous equation obtanied by the authors previously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains Gamboa, Alfredo S. Limaco, Juan Yapu, Luis P. Analysis of PDEs In this paper we investigate the Hierarchical null controllability of a coupled degenerate semilinear parabolic equation in domains which are moving in time. We show the local null controllability of the semilinear system using Liusternik's inverse function theorem. Nevertheless, the main difficulty is to adapt a Carleman estimate for the controllability of the linearized otimality system, using a Carleman inequality for degenerate non-autonomous equation obtanied by the authors previously. |
| title | Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.07582 |