Global uniqueness for a semilinear biharmonic equation
In this paper, we prove that the knowledge of the Dirichlet-to-Neumann map, measured on the full boundary of the bounded domain in $\mathbb{R}^{n}, n\geq 3$ , can uniquely determine the Taylor series of $a(x,z)$ at $z=0$ under general assumptions on $a(x,z)$ .
Authors
- Hongxiang Zhang (ORCID: https://orcid.org/0000-0001-7163-0227)
- Yanjun Ma (ORCID: https://orcid.org/0000-0001-8597-4485)
Institutions
- China University of Mining and Technology (CN)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-08-04
- DOI
- https://doi.org/10.1186/s13661-025-02090-y
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Postdoctoral Science Foundation