Inverse problems for semilinear elliptic equations with low regularity

MATHEMATICA SCANDINAVICA 2026 Open access

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Authors: David Johansson, Janne Nurminen, Mikko Salo
DOI: 10.2140/mscand.2026.132.49
Cited by: 0

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).

Fields of Study & Subjects

Numerical methods in inverse problems Nonlinear Partial Differential Equations Stability and Controllability of Differential Equations

Publication details

Journal / source
MATHEMATICA SCANDINAVICA
Volume
132
Issue
1
Pages
49–71
Publication date
5 July 2026
Language
EN