Inverse boundary value problems for polyharmonic operators with non-smooth coefficients
Analysis of PDEs
2025-03-27 v3
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.
Cite
@article{arxiv.2108.11522,
title = {Inverse boundary value problems for polyharmonic operators with non-smooth coefficients},
author = {R. M. Brown and L. D. Gauthier},
journal= {arXiv preprint arXiv:2108.11522},
year = {2025}
}
Comments
26 pages Revised version adds a proof of Lemma 3.6 and minor corrections elsewhere Revised version in March 2025 adds a second file which provides a correction to the main result of the original paper