{"title":"A note on the paper","authors":"Nesrine Aroua, Mourad Bellassoued","doi":"10.1007/s00208-024-02926-5","DOIUrl":null,"url":null,"abstract":"<p>This note aim to provide a deeper insight on article dealing with an inverse problem for biharmonic operator with second order perturbation. More precisely, we are referring to the paper <i>An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator</i> by Bhattacharyya and Ghosh <i>An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator</i>, Math Ann (2021). Unfortunately, the paper contains some incorrect part. Indeed, a gap in the proof of the crucial proposition appears, whereas Proposition 3.6 in Bhattacharyya and Ghosh (Math Ann, 2021) is true only in a very specific case.</p>","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"168 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Annalen","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00208-024-02926-5","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This note aim to provide a deeper insight on article dealing with an inverse problem for biharmonic operator with second order perturbation. More precisely, we are referring to the paper An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator by Bhattacharyya and Ghosh An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator, Math Ann (2021). Unfortunately, the paper contains some incorrect part. Indeed, a gap in the proof of the crucial proposition appears, whereas Proposition 3.6 in Bhattacharyya and Ghosh (Math Ann, 2021) is true only in a very specific case.
本论文旨在深入探讨处理二阶扰动双谐算子逆问题的文章。更确切地说，我们参考的是 Bhattacharyya 和 Ghosh 的论文 An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator，Math Ann (2021)。遗憾的是，这篇论文包含一些不正确的部分。事实上，关键命题的证明出现了漏洞，而 Bhattacharyya 和 Ghosh (Math Ann, 2021) 中的命题 3.6 只在非常特殊的情况下才成立。
期刊介绍：
Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin.
The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin.
Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.
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