Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation

  • 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, cavity and coefficients simultaneously by knowing the corresponding localized Dirichlet-Neumann operators.

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Author:Bastian von HarrachORCiDGND, Yi-Hsuan LinORCiDGND
URN:urn:nbn:de:hebis:30:3-712255
DOI:https://doi.org/10.48550/arXiv.2201.04594
ArXiv Id:http://arxiv.org/abs/2201.04594
Document Type:Article
Language:English
Date of Publication (online):2022/12/11
Date of first Publication:2022/12/11
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2023/01/26
Page Number:14
Note:
This is the accepted version of an article published in Nonlinear Analysis 228, 113188, 2023 https://doi.org/10.1016/j.na.2022.113188
HeBIS-PPN:507918584
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Sammlungen:Universit├Ątspublikationen
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International