Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
Analysis of PDEs
2022-12-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2201.04594,
title = {Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation},
author = {Bastian Harrach and Yi-Hsuan Lin},
journal= {arXiv preprint arXiv:2201.04594},
year = {2022}
}