Work

High-frequency stability estimates for the linearized inverse boundary value problem for the polyharmonic operator with constant attenuation

Year: 2025

Type: article

Abstract: 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.

Source: Communications on Analysis and Computation

DOI: 10.3934/cac.2025010

Authors: Anupam Pal Choudhury, Ajith Kumar T

Institutions: National Institute of Science Education and Research, Homi Bhabha National Institute

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4410787000

FWCI: 1.604

Cites: 28

Cited by: 1

Related to: 10