Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation

DOI10.1016/J.NA.2022.113188zbMATH Open1507.35341arXiv2201.04594MaRDI QIDQ6388109

Publication date: 12 January 2022

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.

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Semilinear elliptic equations (35J61)

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