Inverse problems for semilinear elliptic equations with low regularity

Authors

  • David Johansson Department of Mathematics, Aarhus University, Aarhus, Denmark
  • Janne Nurminen Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland
  • Mikko Salo Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland

DOI:

https://doi.org/10.2140/mscand.2026.132.49

Keywords:

inverse problems, semilinear elliptic equations

Abstract

We show that a general nonlinearity $a(x,u)$ is uniquely determined, possibly up to a gauge, in a neighborhood of a fixed solution from boundary measurements of the corresponding semilinear equation. The main theorems are low regularity counterparts of the results in our recent paper (arXiv~2312.12196).

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Published

2026-07-27

Issue

Section

Articles

How to Cite

[1]
D. Johansson, J. Nurminen, and M. Salo, “Inverse problems for semilinear elliptic equations with low regularity”, Math. Scand., vol. 132, no. 1, pp. 49–71, Jul. 2026, doi: 10.2140/mscand.2026.132.49.