Abstract
We consider inverse boundary value problems for polyharmonic operators and in particular, the problem of recovering the coefficients of terms up to order one. The main interest of our result is that it further relaxes the regularity required to establish uniqueness. The proof relies on an averaging technique introduced by Haberman and Tataru for the study of an inverse boundary value problem for a second order operator.
| Original language | English |
|---|---|
| Pages (from-to) | 943-966 |
| Number of pages | 24 |
| Journal | Inverse Problems and Imaging |
| Volume | 16 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 2022 |
Bibliographical note
Publisher Copyright:© 2022, American Institute of Mathematical Sciences. All rights reserved.
Funding
2020 Mathematics Subject Classification. Primary: 35R30; Secondary: 35J40. Key words and phrases. Inverse problem, Polyharmonic operator, Non-smooth coefficients. R.M. Brown is partially supported by a grant from the Simons Foundation (#422756). ∗Corresponding author: L.D. Gauthier.
| Funders | Funder number |
|---|---|
| Simons Foundation | 422756 |
Keywords
- Non-smooth coefficients
- Polyharmonic operator
- and phrases. Inverse problem
ASJC Scopus subject areas
- Analysis
- Modeling and Simulation
- Discrete Mathematics and Combinatorics
- Control and Optimization
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