Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation

Bastian Harrach, Yi Hsuan Lin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 and absorption coefficients together with the shape of a cavity simultaneously by knowing the corresponding localized Dirichlet–Neumann operator.

Original languageEnglish
Article number113188
JournalNonlinear Analysis, Theory, Methods and Applications
Volume228
DOIs
StatePublished - Mar 2023

Keywords

  • Higher order linearization
  • Inverse boundary value problems
  • Inverse obstacle problem
  • Localized potentials
  • Monotonicity method
  • Partial data
  • Semilinear elliptic equations
  • Simultaneous recovery

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