Inverse boundary value problems for polyharmonic operators with non-smooth coefficients-Reference-Cited by-同舟云学术

Inverse boundary value problems for polyharmonic operators with non-smooth coefficients

Published:2022 Issue:4 Volume:16 Page:943
ISSN:1930-8337
Container-title:Inverse Problems and Imaging
language:
Short-container-title:IPI

Author:

Brown R.M.¹,Gauthier L.D.¹

Affiliation:

1. Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis

Reference35 articles.

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