e-Article
Inverse boundary value problems for polyharmonic operators with non-smooth coefficients
Document Type
Working Paper
Author
Source
Inverse problems and Imaging, 2022, 16 (4): 943-966
Subject
Language
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.
Comment: 26 pages Revised version adds a proof of Lemma 3.6 and minor corrections elsewhere
Comment: 26 pages Revised version adds a proof of Lemma 3.6 and minor corrections elsewhere