Global uniqueness for a semilinear biharmonic equation
Abstract In this paper, we prove that the knowledge of the Dirichlet-to-Neumann map, measured on the full boundary of the bounded domain in R n , n ≥ 3 $\mathbb{R}^{n}, n\geq 3$ , can uniquely determine the Taylor series of a ( x , z ) $a(x,z)$ at z = 0 $z=0$ under general assumptions on a ( x , z )...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02090-y |
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| _version_ | 1849234722823077888 |
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| author | Yanjun Ma Hongxiang Zhang |
| author_facet | Yanjun Ma Hongxiang Zhang |
| author_sort | Yanjun Ma |
| collection | DOAJ |
| description | Abstract In this paper, we prove that the knowledge of the Dirichlet-to-Neumann map, measured on the full boundary of the bounded domain in R n , n ≥ 3 $\mathbb{R}^{n}, n\geq 3$ , can uniquely determine the Taylor series of a ( x , z ) $a(x,z)$ at z = 0 $z=0$ under general assumptions on a ( x , z ) $a(x,z)$ . |
| format | Article |
| id | doaj-art-c1e462ec3bcf4dfd89b51fb0f71b8425 |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-c1e462ec3bcf4dfd89b51fb0f71b84252025-08-20T04:03:03ZengSpringerOpenBoundary Value Problems1687-27702025-08-012025111310.1186/s13661-025-02090-yGlobal uniqueness for a semilinear biharmonic equationYanjun Ma0Hongxiang Zhang1Department of Mathematics, China University of Mining and TechnologySchool of Mathematical Sciences, University of Chinese Academy of SciencesAbstract In this paper, we prove that the knowledge of the Dirichlet-to-Neumann map, measured on the full boundary of the bounded domain in R n , n ≥ 3 $\mathbb{R}^{n}, n\geq 3$ , can uniquely determine the Taylor series of a ( x , z ) $a(x,z)$ at z = 0 $z=0$ under general assumptions on a ( x , z ) $a(x,z)$ .https://doi.org/10.1186/s13661-025-02090-yDirichlet-to-Neumann mapHigher-order linearization techniqueSemilinear Biharmonic equation |
| spellingShingle | Yanjun Ma Hongxiang Zhang Global uniqueness for a semilinear biharmonic equation Boundary Value Problems Dirichlet-to-Neumann map Higher-order linearization technique Semilinear Biharmonic equation |
| title | Global uniqueness for a semilinear biharmonic equation |
| title_full | Global uniqueness for a semilinear biharmonic equation |
| title_fullStr | Global uniqueness for a semilinear biharmonic equation |
| title_full_unstemmed | Global uniqueness for a semilinear biharmonic equation |
| title_short | Global uniqueness for a semilinear biharmonic equation |
| title_sort | global uniqueness for a semilinear biharmonic equation |
| topic | Dirichlet-to-Neumann map Higher-order linearization technique Semilinear Biharmonic equation |
| url | https://doi.org/10.1186/s13661-025-02090-y |
| work_keys_str_mv | AT yanjunma globaluniquenessforasemilinearbiharmonicequation AT hongxiangzhang globaluniquenessforasemilinearbiharmonicequation |