Hölder stability for a semilinear elliptic inverse problem

被引：2
作者：
Choulli, Mourad [1 ]
机构：
[1] Univ Lorraine, Metz, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 530卷 / 01期
关键词：
Semilinear elliptic equation; Localized Dirichlet-to-Neumann map; Holder stability inequality; EQUATIONS;
D O I：
10.1016/j.jmaa.2023.127639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the problem of determining the nonlinear term in a semilinear elliptic equation by boundary measurements. Precisely, we improve [5, Theorem 1.3], where a logarithmic type stability estimate was proved. We show actually that we have a Holder stability estimate with less boundary measurements and less regular nonlinearities. We establish our stability inequality by following the same method as in [4]. This method consists in constructing special solutions vanishing on a subboundary of the domain.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：11
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