Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation

被引：13
作者：
Harrach, Bastian [1 ]
Lin, Yi-Hsuan [2 ]
机构：
[1] Goethe Univ Frankfurt, Inst Math, Frankfurt, Germany
[2] Natl Yang Ming Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 228卷
关键词：
Inverse boundary value problems; Inverse obstacle problem; Semilinear elliptic equations; Simultaneous recovery; Partial data; Higher order linearization; Monotonicity method; Localized potentials; INVERSE PROBLEMS; SHAPE-RECONSTRUCTION; GLOBAL UNIQUENESS; MONOTONICITY; CONDUCTIVITY;
D O I：
10.1016/j.na.2022.113188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at hand, we can determine the diffusion and absorption coefficients together with the shape of a cavity simultaneously by knowing the corresponding localized Dirichlet-Neumann operator.(c) 2022 Published by Elsevier Ltd.
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页数：14
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