非光滑系数多谐算子的反边值问题

Inverse Problems & Imaging Pub Date : 2021-08-26 DOI:10.3934/ipi.2022006

R. M. Brown, L. Gauthier

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引用次数: 3

摘要

我们考虑了多谐算子的反边值问题，特别是将项的系数恢复到1阶的问题。我们的结果的主要兴趣在于它进一步放松了建立唯一性所需的规律性。该证明依赖于Haberman和Tataru为研究二阶算子的反边值问题而引入的一种平均技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Inverse Problems & Imaging

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