The linearized partial data Calderón problem for Biharmonic operators

IF 1.3 2区 数学 Q1 MATHEMATICS Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-07-01 Epub Date: 2024-04-18 DOI:10.1016/j.na.2024.113544
Divyansh Agrawal , Ravi Shankar Jaiswal , Suman Kumar Sahoo
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引用次数: 0

Abstract

We consider a linearized partial data Calderón problem for biharmonic operators extending the analogous result for harmonic operators (Dos Santos Ferreira et al., 2009). We construct special solutions and utilize Segal-Bargmann transform to recover lower order perturbations.

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比谐算子的线性化部分数据卡尔德龙问题
我们考虑了双谐波算子的线性化部分数据卡尔德龙问题,扩展了谐波算子的类似结果(多斯桑托斯-费雷拉等人,2009 年)。我们构建了特殊解,并利用西格尔-巴格曼变换来恢复低阶扰动。
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来源期刊
CiteScore
3.30
自引率
0.00%
发文量
265
审稿时长
60 days
期刊介绍: Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.
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