High-frequency stability estimates for the linearized inverse boundary value problem for the polyharmonic operator with constant attenuation
In this article, we explore high-frequency stability estimates for the determination of the zeroth-order perturbation of the polyharmonic operator with constant attenuation from the linearized partial Dirichlet-to-Neumann map when part of the boundary of the domain is inaccessible and flat. Our result suggests improvement of the stability when the frequency is appropriately chosen. This work extends the results of [17], [29], [19], [8] and [28] to the case of polyharmonic operator with constant attenuation and with lower regularity assumption on the potentials.
Authors
- Anupam Pal Choudhury (ORCID: https://orcid.org/0000-0003-3199-3933)
- Ajith Kumar T
Institutions
- National Institute of Science Education and Research (IN)
- Homi Bhabha National Institute (IN)
Publication Details
- Journal
- Communications on Analysis and Computation
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/cac.2025010
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00